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<!-- Created: Mon Aug 14 20:46:26 UTC 2023 -->
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xml:lang="en-US">Equity Components [Axis]</label>
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    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xml:lang="en-US">Related Party, Type [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesAbstract_lbl" xml:lang="en-US">Schedule of Fair Value of the Convertible Promissory Notes [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesAbstract" xlink:to="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueConvertiblePromissoryNotes" xlink:href="fact-20230630.xsd#fact_FairValueConvertiblePromissoryNotes"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="fact_FairValueConvertiblePromissoryNotes_lbl" xml:lang="en-US">Fair value at Beginning</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueConvertiblePromissoryNotes" xlink:to="fact_FairValueConvertiblePromissoryNotes_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="fact_FairValueConvertiblePromissoryNotes_lbl0" xml:lang="en-US">Fair value at Ending</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueConvertiblePromissoryNotes" xlink:to="fact_FairValueConvertiblePromissoryNotes_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfChangesInTheFairValueOfWarrantLiabilitiesAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfChangesInTheFairValueOfWarrantLiabilitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfChangesInTheFairValueOfWarrantLiabilitiesAbstract_lbl" xml:lang="en-US">Schedule of Changes in the Fair Value of Warrant Liabilities [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfChangesInTheFairValueOfWarrantLiabilitiesAbstract" xlink:to="fact_ScheduleOfChangesInTheFairValueOfWarrantLiabilitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueNetAssetLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueNetAssetLiability"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xml:lang="en-US">Fair value as of beginning</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueNetAssetLiability" xlink:to="us-gaap_FairValueNetAssetLiability_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="us-gaap_FairValueNetAssetLiability_lbl0" xml:lang="en-US">Fair value as of ending</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueNetAssetLiability" xlink:to="us-gaap_FairValueNetAssetLiability_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsidiarySaleOfStockAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SubsidiarySaleOfStockAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xml:lang="en-US">Sale of Stock [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsidiarySaleOfStockAxis" xlink:to="us-gaap_SubsidiarySaleOfStockAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SubsequentEventsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xml:lang="en-US">Subsequent Events [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventsAbstract" xlink:to="us-gaap_SubsequentEventsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentType"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentType_lbl" xml:lang="en-US">Document Type</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentType" xlink:to="dei_DocumentType_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentQuarterlyReport" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentQuarterlyReport"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentQuarterlyReport_lbl" xml:lang="en-US">Document Quarterly Report</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentQuarterlyReport" xlink:to="dei_DocumentQuarterlyReport_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentPeriodEndDate" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentPeriodEndDate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentPeriodEndDate_lbl" xml:lang="en-US">Document Period End Date</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentPeriodEndDate" xlink:to="dei_DocumentPeriodEndDate_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentFiscalYearFocus" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentFiscalYearFocus"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentFiscalYearFocus_lbl" xml:lang="en-US">Document Fiscal Year Focus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentFiscalYearFocus" xlink:to="dei_DocumentFiscalYearFocus_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentTransitionReport" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentTransitionReport"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentTransitionReport_lbl" xml:lang="en-US">Document Transition Report</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentTransitionReport" xlink:to="dei_DocumentTransitionReport_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityFileNumber" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFileNumber"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityFileNumber_lbl" xml:lang="en-US">Entity File Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityFileNumber" xlink:to="dei_EntityFileNumber_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityRegistrantName"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityRegistrantName_lbl" xml:lang="en-US">Entity Registrant Name</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityRegistrantName" xlink:to="dei_EntityRegistrantName_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityIncorporationStateCountryCode" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityIncorporationStateCountryCode"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xml:lang="en-US">Entity Incorporation, State or Country Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityIncorporationStateCountryCode" xlink:to="dei_EntityIncorporationStateCountryCode_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityTaxIdentificationNumber" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityTaxIdentificationNumber"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xml:lang="en-US">Entity Tax Identification Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityTaxIdentificationNumber" xlink:to="dei_EntityTaxIdentificationNumber_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressAddressLine1" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityAddressAddressLine1_lbl" xml:lang="en-US">Entity Address, Address Line One</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressAddressLine1" xlink:to="dei_EntityAddressAddressLine1_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressCityOrTown" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressCityOrTown"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityAddressCityOrTown_lbl" xml:lang="en-US">Entity Address, City or Town</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressCityOrTown" xlink:to="dei_EntityAddressCityOrTown_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressStateOrProvince" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressStateOrProvince"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityAddressStateOrProvince_lbl" xml:lang="en-US">Entity Address, State or Province</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressStateOrProvince" xlink:to="dei_EntityAddressStateOrProvince_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityAddressPostalZipCode" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressPostalZipCode"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityAddressPostalZipCode_lbl" xml:lang="en-US">Entity Address, Postal Zip Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressPostalZipCode" xlink:to="dei_EntityAddressPostalZipCode_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_CityAreaCode" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CityAreaCode"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_CityAreaCode_lbl" xml:lang="en-US">City Area Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_CityAreaCode" xlink:to="dei_CityAreaCode_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_LocalPhoneNumber" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LocalPhoneNumber"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_LocalPhoneNumber_lbl" xml:lang="en-US">Local Phone Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_LocalPhoneNumber" xlink:to="dei_LocalPhoneNumber_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_Security12bTitle" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_Security12bTitle"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_Security12bTitle_lbl" xml:lang="en-US">Title of 12(b) Security</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_Security12bTitle" xlink:to="dei_Security12bTitle_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_TradingSymbol" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_TradingSymbol"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_TradingSymbol_lbl" xml:lang="en-US">Trading Symbol</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_TradingSymbol" xlink:to="dei_TradingSymbol_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_SecurityExchangeName" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SecurityExchangeName"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_SecurityExchangeName_lbl" xml:lang="en-US">Security Exchange Name</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_SecurityExchangeName" xlink:to="dei_SecurityExchangeName_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCurrentReportingStatus" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCurrentReportingStatus"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityCurrentReportingStatus_lbl" xml:lang="en-US">Entity Current Reporting Status</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCurrentReportingStatus" xlink:to="dei_EntityCurrentReportingStatus_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityInteractiveDataCurrent" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityInteractiveDataCurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xml:lang="en-US">Entity Interactive Data Current</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityInteractiveDataCurrent" xlink:to="dei_EntityInteractiveDataCurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityFilerCategory" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFilerCategory"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityFilerCategory_lbl" xml:lang="en-US">Entity Filer Category</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityFilerCategory" xlink:to="dei_EntityFilerCategory_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntitySmallBusiness" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntitySmallBusiness"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntitySmallBusiness_lbl" xml:lang="en-US">Entity Small Business</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntitySmallBusiness" xlink:to="dei_EntitySmallBusiness_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityEmergingGrowthCompany" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityEmergingGrowthCompany"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xml:lang="en-US">Entity Emerging Growth Company</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityEmergingGrowthCompany" xlink:to="dei_EntityEmergingGrowthCompany_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityExTransitionPeriod" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityExTransitionPeriod"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityExTransitionPeriod_lbl" xml:lang="en-US">Entity Ex Transition Period</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityExTransitionPeriod" xlink:to="dei_EntityExTransitionPeriod_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityShellCompany" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityShellCompany"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityShellCompany_lbl" xml:lang="en-US">Entity Shell Company</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityShellCompany" xlink:to="dei_EntityShellCompany_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCommonStockSharesOutstanding" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xml:lang="en-US">Entity Common Stock, Shares Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCommonStockSharesOutstanding" xlink:to="dei_EntityCommonStockSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_AmendmentFlag"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_AmendmentFlag_lbl" xml:lang="en-US">Amendment Flag</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_AmendmentFlag" xlink:to="dei_AmendmentFlag_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_CurrentFiscalYearEndDate" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CurrentFiscalYearEndDate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xml:lang="en-US">Current Fiscal Year End Date</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_CurrentFiscalYearEndDate" xlink:to="dei_CurrentFiscalYearEndDate_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentFiscalPeriodFocus"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xml:lang="en-US">Document Fiscal Period Focus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentFiscalPeriodFocus" xlink:to="dei_DocumentFiscalPeriodFocus_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCentralIndexKey"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="dei_EntityCentralIndexKey_lbl" xml:lang="en-US">Entity Central Index Key</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCentralIndexKey" xlink:to="dei_EntityCentralIndexKey_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsAbstract_lbl" xml:lang="en-US">Assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AssetsAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsCurrentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsCurrentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xml:lang="en-US">Current assets:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsCurrentAbstract" xlink:to="us-gaap_AssetsCurrentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PrepaidExpenseCurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PrepaidExpenseCurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PrepaidExpenseCurrent_lbl" xml:lang="en-US">Prepaid expenses - short term</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PrepaidExpenseCurrent" xlink:to="us-gaap_PrepaidExpenseCurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsHeldInTrustNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsHeldInTrustNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsHeldInTrustNoncurrent_lbl" xml:lang="en-US">Cash and marketable securities held in Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsHeldInTrustNoncurrent" xlink:to="us-gaap_AssetsHeldInTrustNoncurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract" xlink:to="fact_UnlabeledAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract" xlink:href="fact-20230630.xsd#fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract_lbl" xml:lang="en-US">Liabilities, Redeemable Ordinary Shares and Shareholders&#8217; Deficit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract" xlink:to="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_LiabilitiesCurrentAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesCurrentAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xml:lang="en-US">Current liabilities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilitiesCurrentAbstract" xlink:to="us-gaap_LiabilitiesCurrentAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_lbl" xml:lang="en-US">Accounts payable and accrued expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent" xlink:to="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherNotesPayableCurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherNotesPayableCurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherNotesPayableCurrent_lbl" xml:lang="en-US">Promissory Note - Related Party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherNotesPayableCurrent" xlink:to="us-gaap_OtherNotesPayableCurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ConvertibleNotesPayableCurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ConvertibleNotesPayableCurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ConvertibleNotesPayableCurrent_lbl" xml:lang="en-US">Convertible Promissory Note &#8211; Related Party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ConvertibleNotesPayableCurrent" xlink:to="us-gaap_ConvertibleNotesPayableCurrent_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WarrantsAndRightsOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WarrantsAndRightsOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xml:lang="en-US">Warrant liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantsAndRightsOutstanding" xlink:to="us-gaap_WarrantsAndRightsOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl" xml:lang="en-US">Deferred underwriters&#8217; discount payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent" xlink:to="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl0" xml:lang="en-US">Underwriting fee payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent" xlink:to="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl1" xml:lang="en-US">Deferred underwriting fee payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent" xlink:to="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract0" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract0_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract0" xlink:to="fact_UnlabeledAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingencies" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommitmentsAndContingencies"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xml:lang="en-US">Commitments and Contingencies (See Note 6)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommitmentsAndContingencies" xlink:to="us-gaap_CommitmentsAndContingencies_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TemporaryEquityCarryingAmountAttributableToParent"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl" xml:lang="en-US">Class A Ordinary shares subject to possible redemption 11,243,496 and 34,500,000 shares subject to possible redemption at redemption value at June 30, 2023 and December 31, 2022, respectively</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityCarryingAmountAttributableToParent" xlink:to="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl0" xml:lang="en-US">Contingently redeemable ordinary shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityCarryingAmountAttributableToParent" xlink:to="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_SharesSubjectToPossibleRedemption" xlink:href="fact-20230630.xsd#fact_SharesSubjectToPossibleRedemption"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_SharesSubjectToPossibleRedemption_lbl" xml:lang="en-US">Ordinary shares subject to possible redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SharesSubjectToPossibleRedemption" xlink:to="fact_SharesSubjectToPossibleRedemption_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract1" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract1_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract1" xlink:to="fact_UnlabeledAbstract1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquityAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xml:lang="en-US">Shareholders&#8217; Deficit:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_StockholdersEquityAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockValue_lbl" xml:lang="en-US">Preference shares, $0.0001 par value; 1,000,000 shares authorized; none issued or outstanding at June 30, 2023 and December 31, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockValue" xlink:to="us-gaap_PreferredStockValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockParOrStatedValuePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xml:lang="en-US">Preference shares, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockParOrStatedValuePerShare" xlink:to="us-gaap_PreferredStockParOrStatedValuePerShare_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl0" xml:lang="en-US">Preferred stock, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockParOrStatedValuePerShare" xlink:to="us-gaap_PreferredStockParOrStatedValuePerShare_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockSharesAuthorized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xml:lang="en-US">Preference shares, shares authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesAuthorized" xlink:to="us-gaap_PreferredStockSharesAuthorized_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl0" xml:lang="en-US">Preferred stock, shares authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesAuthorized" xlink:to="us-gaap_PreferredStockSharesAuthorized_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockSharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xml:lang="en-US">Preference shares, shares issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesIssued" xlink:to="us-gaap_PreferredStockSharesIssued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PreferredStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xml:lang="en-US">Preference shares, shares outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesOutstanding" xlink:to="us-gaap_PreferredStockSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockValue_lbl" xml:lang="en-US">Class A ordinary shares, $0.0001 par value; 200,000,000 shares authorized at June 30, 2023 and December 31, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockValue" xlink:to="us-gaap_CommonStockValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xml:lang="en-US">Ordinary shares, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="us-gaap_CommonStockParOrStatedValuePerShare_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl0" xml:lang="en-US">Common stock, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="us-gaap_CommonStockParOrStatedValuePerShare_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xml:lang="en-US">Ordinary shares, shares authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesAuthorized" xlink:to="us-gaap_CommonStockSharesAuthorized_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl0" xml:lang="en-US">Common stock, shares authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesAuthorized" xlink:to="us-gaap_CommonStockSharesAuthorized_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_CommonStockValueOne" xlink:href="fact-20230630.xsd#fact_CommonStockValueOne"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_CommonStockValueOne_lbl" xml:lang="en-US">Class B ordinary shares, $0.0001 par value; 20,000,000 shares authorized; 8,625,000 shares issued and outstanding at June 30, 2023 and December 31, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CommonStockValueOne" xlink:to="fact_CommonStockValueOne_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockSharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xml:lang="en-US">Ordinary shares, shares issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesIssued" xlink:to="us-gaap_CommonStockSharesIssued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xml:lang="en-US">Ordinary shares, shares outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesOutstanding" xlink:to="us-gaap_CommonStockSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdditionalPaidInCapital"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xml:lang="en-US">Additional paid-in capital</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdditionalPaidInCapital" xlink:to="us-gaap_AdditionalPaidInCapital_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xml:lang="en-US">Accumulated deficit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsAccumulatedDeficit" xlink:to="us-gaap_RetainedEarningsAccumulatedDeficit_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OperatingCostsAndExpenses" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingCostsAndExpenses"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OperatingCostsAndExpenses_lbl" xml:lang="en-US">Operating costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingCostsAndExpenses" xlink:to="us-gaap_OperatingCostsAndExpenses_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract2" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract2_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract2" xlink:to="fact_UnlabeledAbstract2_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NonoperatingIncomeExpenseAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xml:lang="en-US">Other (expense) income:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NonoperatingIncomeExpenseAbstract" xlink:to="us-gaap_NonoperatingIncomeExpenseAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_lbl" xml:lang="en-US">Foreign currency exchange gain</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:to="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentIncomeInterest" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InvestmentIncomeInterest"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentIncomeInterest_lbl" xml:lang="en-US">Interest income on operating accounts</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeInterest" xlink:to="us-gaap_InvestmentIncomeInterest_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount" xlink:href="fact-20230630.xsd#fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl" xml:lang="en-US">Interest income on marketable securities held in Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount" xlink:to="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueOptionChangesInFairValueGainLoss1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xml:lang="en-US">Change in fair value of convertible note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueOptionChangesInFairValueGainLoss1" xlink:to="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl0" xml:lang="en-US">Change in fair value of convertible note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueOptionChangesInFairValueGainLoss1" xlink:to="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract3" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract3"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract3_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract3" xlink:to="fact_UnlabeledAbstract3_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract4" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract4"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract4_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract4" xlink:to="fact_UnlabeledAbstract4_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xml:lang="en-US">Weighted average shares outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl0" xml:lang="en-US">Weighted average shares outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EarningsPerShareBasic"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xml:lang="en-US">Basic and diluted net (loss) income per share, Class A ordinary shares subject to possible redemption (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasic" xlink:to="us-gaap_EarningsPerShareBasic_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EarningsPerShareBasic_lbl0" xml:lang="en-US">Basic net income (loss) per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasic" xlink:to="us-gaap_EarningsPerShareBasic_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EarningsPerShareDiluted"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xml:lang="en-US">Diluted net income per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_EarningsPerShareDiluted_lbl0" xml:lang="en-US">Diluted net income (loss) per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockIssuedDuringPeriodValueConversionOfUnits"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl" xml:lang="en-US">Proceeds received on convertible note less than fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:to="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued_lbl" xml:lang="en-US">Accretion of Class A ordinary shares subject to possible redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued" xlink:to="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdjustmentsToAdditionalPaidInCapitalOther"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl" xml:lang="en-US">Accretion portion net against additional paid-in capital</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther" xlink:to="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Operating Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xml:lang="en-US">Adjustments to reconcile net (loss) income to net cash used in operating activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ChangeInFairValueOfWarrantLiabilities" xlink:href="fact-20230630.xsd#fact_ChangeInFairValueOfWarrantLiabilities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ChangeInFairValueOfWarrantLiabilities_lbl" xml:lang="en-US">Change in fair value of warrant liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ChangeInFairValueOfWarrantLiabilities" xlink:to="fact_ChangeInFairValueOfWarrantLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xml:lang="en-US">Changes in current assets and current liabilities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xml:lang="en-US">Accounts payable and accrued expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:to="us-gaap_IncreaseDecreaseInAccountsPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract5" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract5"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract5_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract5" xlink:to="fact_UnlabeledAbstract5_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Investing Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions" xlink:href="fact-20230630.xsd#fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl" xml:lang="en-US">Cash withdrawn from Trust Account in connection with redemptions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions" xlink:to="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract6" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract6"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract6_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract6" xlink:to="fact_UnlabeledAbstract6_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xml:lang="en-US">Cash Flows from Financing Activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromConvertibleDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromConvertibleDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromConvertibleDebt_lbl" xml:lang="en-US">Proceeds from issuance of Convertible Promissory Note - Related Party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromConvertibleDebt" xlink:to="us-gaap_ProceedsFromConvertibleDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromNotesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromNotesPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromNotesPayable_lbl" xml:lang="en-US">Proceeds from issuance of Promissory Note - Related Party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromNotesPayable" xlink:to="us-gaap_ProceedsFromNotesPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xml:lang="en-US">Redemption of ordinary shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract7" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract7"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract7_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract7" xlink:to="fact_UnlabeledAbstract7_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract8" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract8"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract8_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract8" xlink:to="fact_UnlabeledAbstract8_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SupplementalCashFlowInformationAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xml:lang="en-US">Supplemental disclosure of noncash financing activities:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="us-gaap_SupplementalCashFlowInformationAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:href="fact-20230630.xsd#fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl" xml:lang="en-US">Proceeds received in excess of initial fair value of convertible promissory note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:to="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares" xlink:href="fact-20230630.xsd#fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl" xml:lang="en-US">Accretion of carrying value to redemption value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares" xlink:to="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAdjustmentOfWarrants" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xml:lang="en-US">Change in fair value of warrant liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAdjustmentOfWarrants" xlink:to="us-gaap_FairValueAdjustmentOfWarrants_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestIncomeOther" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeOther"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_InterestIncomeOther_lbl" xml:lang="en-US">Interest earned on marketable securities held in Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestIncomeOther" xlink:to="us-gaap_InterestIncomeOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInPrepaidExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpense_lbl" xml:lang="en-US">Prepaid expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInPrepaidExpense" xlink:to="us-gaap_IncreaseDecreaseInPrepaidExpense_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireOtherInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquireOtherInvestments"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_PaymentsToAcquireOtherInvestments_lbl" xml:lang="en-US">Investment of Cash into Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireOtherInvestments" xlink:to="us-gaap_PaymentsToAcquireOtherInvestments_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ClassAOrdinarySharesParValue00001PerShareMember" xlink:href="fact-20230630.xsd#fact_ClassAOrdinarySharesParValue00001PerShareMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ClassAOrdinarySharesParValue00001PerShareMember_lbl" xml:lang="en-US">Class A ordinary shares, par value $0.0001 per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ClassAOrdinarySharesParValue00001PerShareMember" xlink:to="fact_ClassAOrdinarySharesParValue00001PerShareMember_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member" xlink:href="fact-20230630.xsd#fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member_lbl" xml:lang="en-US">Redeemable warrants, each whole warrant exercisable for one &#8206;Class A ordinary share at an exercise price of $11.50</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member" xlink:to="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnefourthOfOneRedeemableWarrantMember" xlink:href="fact-20230630.xsd#fact_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnefourthOfOneRedeemableWarrantMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnefourthOfOneRedeemableWarrantMember_lbl" xml:lang="en-US">Units, each consisting of one Class A ordinary share and one-&#8206;fourth of one redeemable warrant</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnefourthOfOneRedeemableWarrantMember" xlink:to="fact_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnefourthOfOneRedeemableWarrantMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonClassAMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonClassAMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonClassAMember_lbl" xml:lang="en-US">Class A Ordinary Shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonClassAMember_lbl0" xml:lang="en-US">Class A</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_CommonClassAMember_lbl1" xml:lang="en-US">Class A Ordinary Shares [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl1"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonClassBMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonClassBMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonClassBMember_lbl" xml:lang="en-US">Class B Ordinary Shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonClassBMember_lbl0" xml:lang="en-US">Class B</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_CommonClassBMember_lbl1" xml:lang="en-US">Class B Ordinary Shares [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember" xlink:href="fact-20230630.xsd#fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember_lbl" xml:lang="en-US">Class A Ordinary Shares Subject to Possible Redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember" xlink:to="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockMember_lbl" xml:lang="en-US">Ordinary Shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockMember" xlink:to="us-gaap_CommonStockMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_CommonStockMember_lbl0" xml:lang="en-US">Ordinary Shares [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockMember" xlink:to="us-gaap_CommonStockMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AdditionalPaidInCapitalMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xml:lang="en-US">Additional Paid-In Capital</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdditionalPaidInCapitalMember" xlink:to="us-gaap_AdditionalPaidInCapitalMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RetainedEarningsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RetainedEarningsMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RetainedEarningsMember_lbl" xml:lang="en-US">Accumulated Deficit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsMember" xlink:to="us-gaap_RetainedEarningsMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xml:lang="en-US">Organization and Business Operations</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:to="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SignificantAccountingPoliciesTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xml:lang="en-US">Significant Accounting Policies</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="us-gaap_SignificantAccountingPoliciesTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_MarketableSecuritiesTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_MarketableSecuritiesTextBlock_lbl" xml:lang="en-US">Schedule of Unrealized Holding Losses and Fair Value of Held to Maturity Securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MarketableSecuritiesTextBlock" xlink:to="us-gaap_MarketableSecuritiesTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_TradingSecuritiesFairValue" xlink:href="fact-20230630.xsd#fact_TradingSecuritiesFairValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_TradingSecuritiesFairValue_lbl" xml:lang="en-US">Fair Value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TradingSecuritiesFairValue" xlink:to="fact_TradingSecuritiesFairValue_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_AmortizedCostAndCarryingValue" xlink:href="fact-20230630.xsd#fact_AmortizedCostAndCarryingValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AmortizedCostAndCarryingValue_lbl" xml:lang="en-US">Fair Value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AmortizedCostAndCarryingValue" xlink:to="fact_AmortizedCostAndCarryingValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xml:lang="en-US">Schedule of Basic and Diluted Net (Loss) Income Per Share for Each Class of Ordinary Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_BasicAndDilutedNetLossIncomePerShareAbstract" xlink:href="fact-20230630.xsd#fact_BasicAndDilutedNetLossIncomePerShareAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_BasicAndDilutedNetLossIncomePerShareAbstract_lbl" xml:lang="en-US">Basic and diluted net (loss) income per share:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BasicAndDilutedNetLossIncomePerShareAbstract" xlink:to="fact_BasicAndDilutedNetLossIncomePerShareAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_NumeratorAbstract" xlink:href="fact-20230630.xsd#fact_NumeratorAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_NumeratorAbstract_lbl" xml:lang="en-US">Numerator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NumeratorAbstract" xlink:to="fact_NumeratorAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TemporaryEquityNetIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TemporaryEquityNetIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TemporaryEquityNetIncome_lbl" xml:lang="en-US">Allocation of net income (loss)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityNetIncome" xlink:to="us-gaap_TemporaryEquityNetIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DenominatorAbstract" xlink:href="fact-20230630.xsd#fact_DenominatorAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DenominatorAbstract_lbl" xml:lang="en-US">Denominator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DenominatorAbstract" xlink:to="fact_DenominatorAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_BasicAndDilutedNetIncomePerShareAbstract" xlink:href="fact-20230630.xsd#fact_BasicAndDilutedNetIncomePerShareAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_BasicAndDilutedNetIncomePerShareAbstract_lbl" xml:lang="en-US">Basic and diluted net income per share:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BasicAndDilutedNetIncomePerShareAbstract" xlink:to="fact_BasicAndDilutedNetIncomePerShareAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_NumeratorAbstract0" xlink:href="fact-20230630.xsd#fact_NumeratorAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_NumeratorAbstract0_lbl" xml:lang="en-US">Numerator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NumeratorAbstract0" xlink:to="fact_NumeratorAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DenominatorAbstract0" xlink:href="fact-20230630.xsd#fact_DenominatorAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DenominatorAbstract0_lbl" xml:lang="en-US">Denominator:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DenominatorAbstract0" xlink:to="fact_DenominatorAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ProposedPublicOfferingDisclosureTextBlock" xlink:href="fact-20230630.xsd#fact_ProposedPublicOfferingDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ProposedPublicOfferingDisclosureTextBlock_lbl" xml:lang="en-US">Initial Public Offering</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProposedPublicOfferingDisclosureTextBlock" xlink:to="fact_ProposedPublicOfferingDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock_lbl" xml:lang="en-US">Schedule of Ordinary Share Reflected on the Condensed Consolidated Balance Sheets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock" xlink:to="us-gaap_ScheduleOfAmountsRecognizedInBalanceSheetTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ProceedsFromGrossProceedsFromIPO" xlink:href="fact-20230630.xsd#fact_ProceedsFromGrossProceedsFromIPO"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ProceedsFromGrossProceedsFromIPO_lbl" xml:lang="en-US">Gross proceeds from IPO</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedsFromGrossProceedsFromIPO" xlink:to="fact_ProceedsFromGrossProceedsFromIPO_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_LessAbstract" xlink:href="fact-20230630.xsd#fact_LessAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_LessAbstract_lbl" xml:lang="en-US">Less:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_LessAbstract" xlink:to="fact_LessAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PlusAbstract" xlink:href="fact-20230630.xsd#fact_PlusAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PlusAbstract_lbl" xml:lang="en-US">Plus:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PlusAbstract" xlink:to="fact_PlusAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TemporaryEquityAccretionToRedemptionValue" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TemporaryEquityAccretionToRedemptionValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TemporaryEquityAccretionToRedemptionValue_lbl" xml:lang="en-US">Accretion of carrying value to redemption value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityAccretionToRedemptionValue" xlink:to="us-gaap_TemporaryEquityAccretionToRedemptionValue_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_LessAbstract0" xlink:href="fact-20230630.xsd#fact_LessAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_LessAbstract0_lbl" xml:lang="en-US">Less:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_LessAbstract0" xlink:to="fact_LessAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PlusAbstract0" xlink:href="fact-20230630.xsd#fact_PlusAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PlusAbstract0_lbl" xml:lang="en-US">Plus:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PlusAbstract0" xlink:to="fact_PlusAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PrivatePlacementWarrantsDisclosureTextBlock" xlink:href="fact-20230630.xsd#fact_PrivatePlacementWarrantsDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PrivatePlacementWarrantsDisclosureTextBlock_lbl" xml:lang="en-US">Private Placement Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PrivatePlacementWarrantsDisclosureTextBlock" xlink:to="fact_PrivatePlacementWarrantsDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyTransactionsDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xml:lang="en-US">Related Party Transactions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xml:lang="en-US">Commitments and Contingencies</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:to="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xml:lang="en-US">Shareholders&#8217; Deficit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:to="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantsDisclosureTextBlock" xlink:href="fact-20230630.xsd#fact_WarrantsDisclosureTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WarrantsDisclosureTextBlock_lbl" xml:lang="en-US">Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsDisclosureTextBlock" xlink:to="fact_WarrantsDisclosureTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xml:lang="en-US">Fair Value Measurements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueDisclosuresTextBlock" xlink:to="us-gaap_FairValueDisclosuresTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xml:lang="en-US">Schedule of Assets and Liabilities that are Measured at Fair Value on Recurring Basis</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:to="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DescriptionAbstract" xlink:href="fact-20230630.xsd#fact_DescriptionAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DescriptionAbstract_lbl" xml:lang="en-US">Description</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DescriptionAbstract" xlink:to="fact_DescriptionAbstract_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_AssetsAbstract0" xlink:href="fact-20230630.xsd#fact_AssetsAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AssetsAbstract0_lbl" xml:lang="en-US">Assets:</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AssetsAbstract0" xlink:to="fact_AssetsAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InvestmentsAndCash" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InvestmentsAndCash"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InvestmentsAndCash_lbl" xml:lang="en-US">Cash</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentsAndCash" xlink:to="us-gaap_InvestmentsAndCash_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherAssets_lbl" xml:lang="en-US">Total assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherAssets" xlink:to="us-gaap_OtherAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract9" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract9"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract9_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract9" xlink:to="fact_UnlabeledAbstract9_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantLiabilitiesPublicWarrants" xlink:href="fact-20230630.xsd#fact_WarrantLiabilitiesPublicWarrants"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WarrantLiabilitiesPublicWarrants_lbl" xml:lang="en-US">Warrant liabilities &#8211; Public warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPublicWarrants" xlink:to="fact_WarrantLiabilitiesPublicWarrants_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantLiabilitiesPrivateWarrants" xlink:href="fact-20230630.xsd#fact_WarrantLiabilitiesPrivateWarrants"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WarrantLiabilitiesPrivateWarrants_lbl" xml:lang="en-US">Warrant liabilities &#8211; Private warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPrivateWarrants" xlink:to="fact_WarrantLiabilitiesPrivateWarrants_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ConvertibleNoteAmount" xlink:href="fact-20230630.xsd#fact_ConvertibleNoteAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ConvertibleNoteAmount_lbl" xml:lang="en-US">Convertible Note &#8211; April 1, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNoteAmount" xlink:to="fact_ConvertibleNoteAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ConvertibleNoteone" xlink:href="fact-20230630.xsd#fact_ConvertibleNoteone"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ConvertibleNoteone_lbl" xml:lang="en-US">Convertible Note &#8211; June 6, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNoteone" xlink:to="fact_ConvertibleNoteone_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ConvertibleNotesTwo" xlink:href="fact-20230630.xsd#fact_ConvertibleNotesTwo"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ConvertibleNotesTwo_lbl" xml:lang="en-US">Convertible Note &#8211; December 14, 2022</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNotesTwo" xlink:to="fact_ConvertibleNotesTwo_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_TotalWarrantLiabilities" xlink:href="fact-20230630.xsd#fact_TotalWarrantLiabilities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_TotalWarrantLiabilities_lbl" xml:lang="en-US">Total Warrant liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalWarrantLiabilities" xlink:to="fact_TotalWarrantLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DescriptionAbstract0" xlink:href="fact-20230630.xsd#fact_DescriptionAbstract0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DescriptionAbstract0_lbl" xml:lang="en-US">Description</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DescriptionAbstract0" xlink:to="fact_DescriptionAbstract0_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund" xlink:href="fact-20230630.xsd#fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl" xml:lang="en-US">Investments held in trust account- Money Market Funds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund" xlink:to="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InvestmentsHeldInTrustAccountNet" xlink:href="fact-20230630.xsd#fact_InvestmentsHeldInTrustAccountNet"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_InvestmentsHeldInTrustAccountNet_lbl" xml:lang="en-US">Total Investments held in Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountNet" xlink:to="fact_InvestmentsHeldInTrustAccountNet_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_UnlabeledAbstract10" xlink:href="fact-20230630.xsd#fact_UnlabeledAbstract10"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_UnlabeledAbstract10_lbl" xml:lang="en-US"></label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_UnlabeledAbstract10" xlink:to="fact_UnlabeledAbstract10_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xml:lang="en-US">Schedule of Quantitative Information Regarding Level 3 Fair Value Measurements</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SharePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharePrice_lbl" xml:lang="en-US">Share price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharePrice" xlink:to="us-gaap_SharePrice_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_SharePrice_lbl0" xml:lang="en-US">Common stock, par value (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharePrice" xlink:to="us-gaap_SharePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_SharePrice_lbl1" xml:lang="en-US">Price per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharePrice" xlink:to="us-gaap_SharePrice_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementStrikePrice" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementStrikePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_FairValueMeasurementStrikePrice_lbl" xml:lang="en-US">Strike price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementStrikePrice" xlink:to="fact_FairValueMeasurementStrikePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xml:lang="en-US">Term (in years)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1" xlink:to="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates" xlink:href="fact-20230630.xsd#fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates_lbl" xml:lang="en-US">Volatility</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates" xlink:to="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xml:lang="en-US">Risk-free rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xml:lang="en-US">Dividend yield</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock" xlink:href="fact-20230630.xsd#fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock_lbl" xml:lang="en-US">Schedule of Fair Value of the Convertible Promissory Notes</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock" xlink:to="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_BorrowingOfConvertiblePromissoryNote" xlink:href="fact-20230630.xsd#fact_BorrowingOfConvertiblePromissoryNote"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_BorrowingOfConvertiblePromissoryNote_lbl" xml:lang="en-US">Borrowing during the quarter ended March 31, 2023</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BorrowingOfConvertiblePromissoryNote" xlink:to="fact_BorrowingOfConvertiblePromissoryNote_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:href="fact-20230630.xsd#fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl" xml:lang="en-US">Proceeds received in excess of initial fair value of convertible promissory note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:to="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions_lbl" xml:lang="en-US">Change in fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions" xlink:to="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_lbl" xml:lang="en-US">Change in fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:to="us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock_lbl" xml:lang="en-US">Schedule of Changes in the Fair Value of Warrant Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock" xlink:to="us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl" xml:lang="en-US">Change in valuation inputs or other assumptions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease" xlink:to="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl0" xml:lang="en-US">Change in fair value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease" xlink:to="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock" xlink:href="fact-20230630.xsd#fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock_lbl" xml:lang="en-US">Schedule of Changes in the Fair Value of Level 3 Warrant Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock" xlink:to="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SubsequentEventsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xml:lang="en-US">Subsequent Events</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventsTextBlock" xlink:to="us-gaap_SubsequentEventsTextBlock_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfWarrants"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xml:lang="en-US">Proceeds allocated to Public Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfWarrants" xlink:to="us-gaap_ProceedsFromIssuanceOfWarrants_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrdinaryShareIssuanceCosts" xlink:href="fact-20230630.xsd#fact_OrdinaryShareIssuanceCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="fact_OrdinaryShareIssuanceCosts_lbl" xml:lang="en-US">Ordinary share issuance costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinaryShareIssuanceCosts" xlink:to="fact_OrdinaryShareIssuanceCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RedemptionPremium" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RedemptionPremium"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="us-gaap_RedemptionPremium_lbl" xml:lang="en-US">Redemptions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RedemptionPremium" xlink:to="us-gaap_RedemptionPremium_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CashMember_lbl" xml:lang="en-US">Cash [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashMember" xlink:to="us-gaap_CashMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_USTreasurySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_USTreasurySecuritiesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xml:lang="en-US">Money Markets Funds [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_USTreasurySecuritiesMember" xlink:to="us-gaap_USTreasurySecuritiesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xml:lang="en-US">Quoted Prices In Active Markets (Level 1) [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel1Member" xlink:to="us-gaap_FairValueInputsLevel1Member_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl0" xml:lang="en-US">Level 1 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel1Member" xlink:to="us-gaap_FairValueInputsLevel1Member_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xml:lang="en-US">Significant Other Observable Inputs (Level 2) [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel2Member" xlink:to="us-gaap_FairValueInputsLevel2Member_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl0" xml:lang="en-US">Level 2 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel2Member" xlink:to="us-gaap_FairValueInputsLevel2Member_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xml:lang="en-US">Significant Other Unobservable Inputs (Level 3) [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel3Member" xlink:to="us-gaap_FairValueInputsLevel3Member_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl0" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel3Member" xlink:to="us-gaap_FairValueInputsLevel3Member_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_ConvertiblePromissoryNotesMember" xlink:href="fact-20230630.xsd#fact_ConvertiblePromissoryNotesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ConvertiblePromissoryNotesMember_lbl" xml:lang="en-US">Convertible Promissory Notes [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertiblePromissoryNotesMember" xlink:to="fact_ConvertiblePromissoryNotesMember_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PublicMember" xlink:href="fact-20230630.xsd#fact_PublicMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PublicMember_lbl" xml:lang="en-US">Public [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicMember" xlink:to="fact_PublicMember_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_PrivatePlacementMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PrivatePlacementMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_PrivatePlacementMember_lbl" xml:lang="en-US">Private Placement [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PrivatePlacementMember" xlink:to="us-gaap_PrivatePlacementMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_PrivatePlacementMember_lbl0" xml:lang="en-US">Private Placement Warrants [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PrivatePlacementMember" xlink:to="us-gaap_PrivatePlacementMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WarrantMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WarrantMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WarrantMember_lbl" xml:lang="en-US">Warrant Liabilities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantMember" xlink:to="us-gaap_WarrantMember_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_WarrantMember_lbl0" xml:lang="en-US">Total Warrant Liabilities [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantMember" xlink:to="us-gaap_WarrantMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_WarrantMember_lbl1" xml:lang="en-US">Private Placement Warrants [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantMember" xlink:to="us-gaap_WarrantMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WarrantMember_lbl2" xml:lang="en-US">Warrants [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantMember" xlink:to="us-gaap_WarrantMember_lbl2"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xml:lang="en-US">Business Acquisition [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionAxis" xlink:to="us-gaap_BusinessAcquisitionAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionAxis_lbl" xml:lang="en-US">Related Party Transaction [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionAxis" xlink:to="us-gaap_RelatedPartyTransactionAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_TitleOfIndividualAxis" xlink:href="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd#srt_TitleOfIndividualAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_TitleOfIndividualAxis_lbl" xml:lang="en-US">Title of Individual [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_TitleOfIndividualAxis" xlink:to="srt_TitleOfIndividualAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_LegalEntityAxis" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LegalEntityAxis"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_LegalEntityAxis_lbl" xml:lang="en-US">Legal Entity [Axis]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_LegalEntityAxis" xlink:to="dei_LegalEntityAxis_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockholdersEquityOtherShares" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquityOtherShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockholdersEquityOtherShares_lbl" xml:lang="en-US">Holders shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityOtherShares" xlink:to="us-gaap_StockholdersEquityOtherShares_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InitialPublicOfferingPerShare" xlink:href="fact-20230630.xsd#fact_InitialPublicOfferingPerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_InitialPublicOfferingPerShare_lbl" xml:lang="en-US">Initial public offering (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InitialPublicOfferingPerShare" xlink:to="fact_InitialPublicOfferingPerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceInitialPublicOffering"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xml:lang="en-US">Proceeds from public offerings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceInitialPublicOffering" xlink:to="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xml:lang="en-US">Consummated share units (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:to="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SaleOfStockPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SaleOfStockPricePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xml:lang="en-US">Price per unit (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockPricePerShare" xlink:to="us-gaap_SaleOfStockPricePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_GeneratingGrossProceeds" xlink:href="fact-20230630.xsd#fact_GeneratingGrossProceeds"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_GeneratingGrossProceeds_lbl" xml:lang="en-US">Generating gross proceeds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_GeneratingGrossProceeds" xlink:to="fact_GeneratingGrossProceeds_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl" xml:lang="en-US">Transaction costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:to="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherUnderwritingExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherUnderwritingExpense"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherUnderwritingExpense_lbl" xml:lang="en-US">Underwriting fee</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherUnderwritingExpense" xlink:to="us-gaap_OtherUnderwritingExpense_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_OtherUnderwritingExpense_lbl0" xml:lang="en-US">Underwriting discount amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherUnderwritingExpense" xlink:to="us-gaap_OtherUnderwritingExpense_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_DeferredUnderwritingFee" xlink:href="fact-20230630.xsd#fact_DeferredUnderwritingFee"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DeferredUnderwritingFee_lbl" xml:lang="en-US">Deferred underwriting fee</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingFee" xlink:to="fact_DeferredUnderwritingFee_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherOwnershipInterestsOfferingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherOwnershipInterestsOfferingCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherOwnershipInterestsOfferingCosts_lbl" xml:lang="en-US">Other offering costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherOwnershipInterestsOfferingCosts" xlink:to="us-gaap_OtherOwnershipInterestsOfferingCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_TotalTransactionCost" xlink:href="fact-20230630.xsd#fact_TotalTransactionCost"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_TotalTransactionCost_lbl" xml:lang="en-US">Total transaction cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalTransactionCost" xlink:to="fact_TotalTransactionCost_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_NetProceedsOfTheSaleOfTheUnits" xlink:href="fact-20230630.xsd#fact_NetProceedsOfTheSaleOfTheUnits"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_NetProceedsOfTheSaleOfTheUnits_lbl" xml:lang="en-US">Net proceeds of the sale of the units</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetProceedsOfTheSaleOfTheUnits" xlink:to="fact_NetProceedsOfTheSaleOfTheUnits_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_BusinessCombinationFairMarketValueEqualPercentage" xlink:href="fact-20230630.xsd#fact_BusinessCombinationFairMarketValueEqualPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl" xml:lang="en-US">Business combination fair market value equal percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BusinessCombinationFairMarketValueEqualPercentage" xlink:to="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xml:lang="en-US">Percentage of outstanding voting securities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired" xlink:to="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionSharePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BusinessAcquisitionSharePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl" xml:lang="en-US">Trust account price per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionSharePrice" xlink:to="us-gaap_BusinessAcquisitionSharePrice_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl0" xml:lang="en-US">Class A ordinary shares equals or exceeds (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionSharePrice" xlink:to="us-gaap_BusinessAcquisitionSharePrice_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_NetTangibleAssets" xlink:href="fact-20230630.xsd#fact_NetTangibleAssets"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_NetTangibleAssets_lbl" xml:lang="en-US">Net tangible assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetTangibleAssets" xlink:to="fact_NetTangibleAssets_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrdinaryShares" xlink:href="fact-20230630.xsd#fact_OrdinaryShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_OrdinaryShares_lbl" xml:lang="en-US">Ordinary shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinaryShares" xlink:to="fact_OrdinaryShares_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_TotalNumberOfOrdinarySharesOutstandingPercentage" xlink:href="fact-20230630.xsd#fact_TotalNumberOfOrdinarySharesOutstandingPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl" xml:lang="en-US">Ordinary shares percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalNumberOfOrdinarySharesOutstandingPercentage" xlink:to="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl0" xml:lang="en-US">Total number of ordinary shares outstanding percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalNumberOfOrdinarySharesOutstandingPercentage" xlink:to="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExcessStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ExcessStockSharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ExcessStockSharesIssued_lbl" xml:lang="en-US">Shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ExcessStockSharesIssued" xlink:to="us-gaap_ExcessStockSharesIssued_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExcessStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ExcessStockSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ExcessStockSharesOutstanding_lbl" xml:lang="en-US">Shares outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ExcessStockSharesOutstanding" xlink:to="us-gaap_ExcessStockSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_RedeemPublicSharesPercentage" xlink:href="fact-20230630.xsd#fact_RedeemPublicSharesPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_RedeemPublicSharesPercentage_lbl" xml:lang="en-US">Redeem public shares, percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RedeemPublicSharesPercentage" xlink:to="fact_RedeemPublicSharesPercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_AggregateSharesOfCommonStock" xlink:href="fact-20230630.xsd#fact_AggregateSharesOfCommonStock"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AggregateSharesOfCommonStock_lbl" xml:lang="en-US">Aggregate shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateSharesOfCommonStock" xlink:to="fact_AggregateSharesOfCommonStock_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="fact_AggregateSharesOfCommonStock_lbl0" xml:lang="en-US">Aggregate ordinary shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateSharesOfCommonStock" xlink:to="fact_AggregateSharesOfCommonStock_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TemporaryEquityRedemptionPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TemporaryEquityRedemptionPricePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TemporaryEquityRedemptionPricePerShare_lbl" xml:lang="en-US">Redemption price per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityRedemptionPricePerShare" xlink:to="us-gaap_TemporaryEquityRedemptionPricePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_IssuedAndOutstandingInterestPercentage" xlink:href="fact-20230630.xsd#fact_IssuedAndOutstandingInterestPercentage"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_IssuedAndOutstandingInterestPercentage_lbl" xml:lang="en-US">Issued and outstanding percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_IssuedAndOutstandingInterestPercentage" xlink:to="fact_IssuedAndOutstandingInterestPercentage_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_TemporaryEquityAggregateAmountOfRedemptionRequirement" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TemporaryEquityAggregateAmountOfRedemptionRequirement"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_TemporaryEquityAggregateAmountOfRedemptionRequirement_lbl" xml:lang="en-US">Redemption amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityAggregateAmountOfRedemptionRequirement" xlink:to="us-gaap_TemporaryEquityAggregateAmountOfRedemptionRequirement_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockHeldInTrust" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockHeldInTrust"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockHeldInTrust_lbl" xml:lang="en-US">Trust account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockHeldInTrust" xlink:to="us-gaap_CommonStockHeldInTrust_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_IssuedAndOutstandingShares" xlink:href="fact-20230630.xsd#fact_IssuedAndOutstandingShares"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_IssuedAndOutstandingShares_lbl" xml:lang="en-US">Outstanding amount (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_IssuedAndOutstandingShares" xlink:to="fact_IssuedAndOutstandingShares_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PublicPerShare" xlink:href="fact-20230630.xsd#fact_PublicPerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PublicPerShare_lbl" xml:lang="en-US">Public per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicPerShare" xlink:to="fact_PublicPerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_TrustAccountPerShare" xlink:href="fact-20230630.xsd#fact_TrustAccountPerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_TrustAccountPerShare_lbl" xml:lang="en-US">Trust account per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TrustAccountPerShare" xlink:to="fact_TrustAccountPerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_AssetsHeldInTrust" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsHeldInTrust"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_AssetsHeldInTrust_lbl" xml:lang="en-US">Cash outside the trust account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsHeldInTrust" xlink:to="us-gaap_AssetsHeldInTrust_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_InterestAndOtherIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestAndOtherIncome"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_InterestAndOtherIncome_lbl" xml:lang="en-US">Interest income earned on trust account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestAndOtherIncome" xlink:to="us-gaap_InterestAndOtherIncome_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_Cash" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Cash"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_Cash_lbl" xml:lang="en-US">Cash in trust account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Cash" xlink:to="us-gaap_Cash_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CashFDICInsuredAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashFDICInsuredAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CashFDICInsuredAmount_lbl" xml:lang="en-US">Federal depository insurance coverage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashFDICInsuredAmount" xlink:to="us-gaap_CashFDICInsuredAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrdinarySharesSubjectToPossibleRedemption" xlink:href="fact-20230630.xsd#fact_OrdinarySharesSubjectToPossibleRedemption"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_OrdinarySharesSubjectToPossibleRedemption_lbl" xml:lang="en-US">Ordinary shares subject to possible redemption (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinarySharesSubjectToPossibleRedemption" xlink:to="fact_OrdinarySharesSubjectToPossibleRedemption_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantsPurchase" xlink:href="fact-20230630.xsd#fact_WarrantsPurchase"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WarrantsPurchase_lbl" xml:lang="en-US">Warrants purchase (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsPurchase" xlink:to="fact_WarrantsPurchase_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DeferredOfferingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredOfferingCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DeferredOfferingCosts_lbl" xml:lang="en-US">Offering costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredOfferingCosts" xlink:to="us-gaap_DeferredOfferingCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl" xml:lang="en-US">Deferred underwriting fee</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees" xlink:to="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl0" xml:lang="en-US">Underwriting fee</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees" xlink:to="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_PartialReversalOfTransactionCosts" xlink:href="fact-20230630.xsd#fact_PartialReversalOfTransactionCosts"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PartialReversalOfTransactionCosts_lbl" xml:lang="en-US">Partial reversal of transaction costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PartialReversalOfTransactionCosts" xlink:to="fact_PartialReversalOfTransactionCosts_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockIssuedDuringPeriodValueOther"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl" xml:lang="en-US">Additional paid-in capital</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueOther" xlink:to="us-gaap_StockIssuedDuringPeriodValueOther_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xml:lang="en-US">Ordinary shares warrants issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights" xlink:to="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DerivativeWarrantLiabilities" xlink:href="fact-20230630.xsd#fact_DerivativeWarrantLiabilities"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DerivativeWarrantLiabilities_lbl" xml:lang="en-US">Derivative warrant liabilities (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DerivativeWarrantLiabilities" xlink:to="fact_DerivativeWarrantLiabilities_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xml:lang="en-US">Sale of unit (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockOptionExercisePriceIncrease" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockOptionExercisePriceIncrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockOptionExercisePriceIncrease_lbl" xml:lang="en-US">Price per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockOptionExercisePriceIncrease" xlink:to="us-gaap_StockOptionExercisePriceIncrease_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockNoParValue" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockNoParValue"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockNoParValue_lbl" xml:lang="en-US">Ordinary share, par value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockNoParValue" xlink:to="us-gaap_CommonStockNoParValue_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WarrantExercisePriceIncrease" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WarrantExercisePriceIncrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WarrantExercisePriceIncrease_lbl" xml:lang="en-US">Price of per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantExercisePriceIncrease" xlink:to="us-gaap_WarrantExercisePriceIncrease_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SaleOfOrdinarySharesRedemption" xlink:href="fact-20230630.xsd#fact_SaleOfOrdinarySharesRedemption"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_SaleOfOrdinarySharesRedemption_lbl" xml:lang="en-US">Sale of ordinary shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SaleOfOrdinarySharesRedemption" xlink:to="fact_SaleOfOrdinarySharesRedemption_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xml:lang="en-US">Purchase of warrants (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight" xlink:to="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xml:lang="en-US">Warrant price per share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1" xlink:to="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl0" xml:lang="en-US">Price per warrant (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1" xlink:to="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl1" xml:lang="en-US">Warrant exercise price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1" xlink:to="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_AggregatePurchasePrice" xlink:href="fact-20230630.xsd#fact_AggregatePurchasePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AggregatePurchasePrice_lbl" xml:lang="en-US">Aggregate purchase price (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregatePurchasePrice" xlink:to="fact_AggregatePurchasePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_StockIssuedDuringPeriodSponsorAmount" xlink:href="fact-20230630.xsd#fact_StockIssuedDuringPeriodSponsorAmount"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_StockIssuedDuringPeriodSponsorAmount_lbl" xml:lang="en-US">Sponsor amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_StockIssuedDuringPeriodSponsorAmount" xlink:to="fact_StockIssuedDuringPeriodSponsorAmount_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharesIssuedPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SharesIssuedPricePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xml:lang="en-US">Price per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharesIssuedPricePerShare" xlink:to="us-gaap_SharesIssuedPricePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockIssuedDuringPeriodSharesIssuedForServices"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xml:lang="en-US">Consideration shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices" xlink:to="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SharesIssued"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SharesIssued_lbl" xml:lang="en-US">Shares issued (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharesIssued" xlink:to="us-gaap_SharesIssued_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_SharesIssued_lbl0" xml:lang="en-US">Shares issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharesIssued" xlink:to="us-gaap_SharesIssued_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockOtherSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockOtherSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockOtherSharesOutstanding_lbl" xml:lang="en-US">Ordinary shares outstanding (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockOtherSharesOutstanding" xlink:to="us-gaap_CommonStockOtherSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SponsorShare" xlink:href="fact-20230630.xsd#fact_SponsorShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_SponsorShare_lbl" xml:lang="en-US">Sponsor share (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorShare" xlink:to="fact_SponsorShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare_lbl" xml:lang="en-US">Fair value of shares (in Shares)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare" xlink:to="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare_lbl" xml:lang="en-US">Fair value per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare" xlink:to="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl" xml:lang="en-US">Borrowings</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_CommonStockValueOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockValueOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_CommonStockValueOutstanding_lbl" xml:lang="en-US">Outstanding amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockValueOutstanding" xlink:to="us-gaap_CommonStockValueOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WorkingCapitalLoans" xlink:href="fact-20230630.xsd#fact_WorkingCapitalLoans"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WorkingCapitalLoans_lbl" xml:lang="en-US">Working capital loans</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WorkingCapitalLoans" xlink:to="fact_WorkingCapitalLoans_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PromissioryNoteRelatedParty" xlink:href="fact-20230630.xsd#fact_PromissioryNoteRelatedParty"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PromissioryNoteRelatedParty_lbl" xml:lang="en-US">Promissory note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PromissioryNoteRelatedParty" xlink:to="fact_PromissioryNoteRelatedParty_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfUnsecuredDebt"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_lbl" xml:lang="en-US">Issued unsecured promissory note amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:to="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_WarrantExercisePriceDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WarrantExercisePriceDecrease"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_WarrantExercisePriceDecrease_lbl" xml:lang="en-US">Exercise price (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantExercisePriceDecrease" xlink:to="us-gaap_WarrantExercisePriceDecrease_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SecuritiesBorrowed" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SecuritiesBorrowed"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SecuritiesBorrowed_lbl" xml:lang="en-US">Borrowed amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SecuritiesBorrowed" xlink:to="us-gaap_SecuritiesBorrowed_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_OtherNotesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherNotesPayable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_OtherNotesPayable_lbl" xml:lang="en-US">Notes payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherNotesPayable" xlink:to="us-gaap_OtherNotesPayable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OfficeSpaceAndAdministrativeSupportServices" xlink:href="fact-20230630.xsd#fact_OfficeSpaceAndAdministrativeSupportServices"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_OfficeSpaceAndAdministrativeSupportServices_lbl" xml:lang="en-US">Sponsor amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OfficeSpaceAndAdministrativeSupportServices" xlink:to="fact_OfficeSpaceAndAdministrativeSupportServices_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_DeferredUnderwritingDiscountPerUnit" xlink:href="fact-20230630.xsd#fact_DeferredUnderwritingDiscountPerUnit"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_DeferredUnderwritingDiscountPerUnit_lbl" xml:lang="en-US">Deferred underwriting discount, per unit (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingDiscountPerUnit" xlink:to="fact_DeferredUnderwritingDiscountPerUnit_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_AggregateGrossProceeds" xlink:href="fact-20230630.xsd#fact_AggregateGrossProceeds"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_AggregateGrossProceeds_lbl" xml:lang="en-US">Aggregate amount</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateGrossProceeds" xlink:to="fact_AggregateGrossProceeds_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_DividendsCommonStockCash" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DividendsCommonStockCash"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_DividendsCommonStockCash_lbl" xml:lang="en-US">Acquiror cash</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DividendsCommonStockCash" xlink:to="us-gaap_DividendsCommonStockCash_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SupplementalDeferredPurchasePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SupplementalDeferredPurchasePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SupplementalDeferredPurchasePrice_lbl" xml:lang="en-US">Aggregate purchase price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalDeferredPurchasePrice" xlink:to="us-gaap_SupplementalDeferredPurchasePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrdinarySharesSharesOutstanding" xlink:href="fact-20230630.xsd#fact_OrdinarySharesSharesOutstanding"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_OrdinarySharesSharesOutstanding_lbl" xml:lang="en-US">Ordinary shares, shares outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinarySharesSharesOutstanding" xlink:to="fact_OrdinarySharesSharesOutstanding_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties_lbl" xml:lang="en-US">Sponsor paid (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties" xlink:to="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SponsorPaidAveragePrice" xlink:href="fact-20230630.xsd#fact_SponsorPaidAveragePrice"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_SponsorPaidAveragePrice_lbl" xml:lang="en-US">Sponsor paid price per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorPaidAveragePrice" xlink:to="fact_SponsorPaidAveragePrice_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SaleOfStockConsiderationReceivedPerTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SaleOfStockConsiderationReceivedPerTransaction"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl" xml:lang="en-US">Sale consideration (in Dollars)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockConsiderationReceivedPerTransaction" xlink:to="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ConsiderationPricePerShare" xlink:href="fact-20230630.xsd#fact_ConsiderationPricePerShare"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_ConsiderationPricePerShare_lbl" xml:lang="en-US">Consideration share price per share (in Dollars per share)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConsiderationPricePerShare" xlink:to="fact_ConsiderationPricePerShare_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ShareIssued" xlink:href="fact-20230630.xsd#fact_ShareIssued"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="us-gaap_IPOMember_lbl0" xml:lang="en-US">Initial Public Offering [Member]</label>
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    <loc xlink:type="locator" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xml:lang="en-US">Business Combination [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember" xlink:to="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember" xlink:to="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_FounderSharesMember" xlink:href="fact-20230630.xsd#fact_FounderSharesMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_FounderSharesMember_lbl" xml:lang="en-US">Founder Shares [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FounderSharesMember" xlink:to="fact_FounderSharesMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_BusinessCombinationMember_lbl" xml:lang="en-US">Business Combination [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BusinessCombinationMember" xlink:to="fact_BusinessCombinationMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="srt_DirectorMember_lbl" xml:lang="en-US">Director [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_DirectorMember" xlink:to="srt_DirectorMember_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_promissoryNoteMember" xlink:href="fact-20230630.xsd#fact_promissoryNoteMember"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_promissoryNoteMember_lbl" xml:lang="en-US">Promissory note [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_promissoryNoteMember" xlink:to="fact_promissoryNoteMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_PublicWarrantsMember_lbl" xml:lang="en-US">Public Warrants [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicWarrantsMember" xlink:to="fact_PublicWarrantsMember_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SolariaCommonStockMember" xlink:to="fact_SolariaCommonStockMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_CompleteSolariaMember_lbl" xml:lang="en-US">Complete Solaria [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CompleteSolariaMember" xlink:to="fact_CompleteSolariaMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="fact_WarrantAgreementMember_lbl" xml:lang="en-US">Warrant Agreement [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantAgreementMember" xlink:to="fact_WarrantAgreementMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ClassOfStockDomain_lbl" xml:lang="en-US">Class of Stock [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfStockDomain" xlink:to="us-gaap_ClassOfStockDomain_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementTable_lbl" xml:lang="en-US">Statement [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementTable" xlink:to="us-gaap_StatementTable_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementLineItems_lbl" xml:lang="en-US">Statement [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementLineItems" xlink:to="us-gaap_StatementLineItems_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EquityComponentDomain_lbl" xml:lang="en-US">Equity Component [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityComponentDomain" xlink:to="us-gaap_EquityComponentDomain_lbl"/>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:to="us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_lbl"/>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_MarketableSecuritiesTable_lbl" xml:lang="en-US">Marketable Securities [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MarketableSecuritiesTable" xlink:to="us-gaap_MarketableSecuritiesTable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_MarketableSecuritiesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_MarketableSecuritiesLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_MarketableSecuritiesLineItems_lbl" xml:lang="en-US">Marketable Securities [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MarketableSecuritiesLineItems" xlink:to="us-gaap_MarketableSecuritiesLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareTable" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareTable_lbl" xml:lang="en-US">Significant Accounting Policies (Details) - Schedule of Basic and Diluted Net (Loss) Income Per Share for Each Class of Ordinary Share [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareTable" xlink:to="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareLineItems" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareLineItems_lbl" xml:lang="en-US">Significant Accounting Policies (Details) - Schedule of Basic and Diluted Net (Loss) Income Per Share for Each Class of Ordinary Share [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareLineItems" xlink:to="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsTable" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsTable_lbl" xml:lang="en-US">Significant Accounting Policies (Details) - Schedule of Basic and Diluted Net (Loss) Income Per Share for Each Class of Ordinary Share (Parentheticals) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsTable" xlink:to="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsLineItems" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsLineItems_lbl" xml:lang="en-US">Significant Accounting Policies (Details) - Schedule of Basic and Diluted Net (Loss) Income Per Share for Each Class of Ordinary Share (Parentheticals) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsLineItems" xlink:to="fact_SignificantAccountingPoliciesDetailsScheduleofBasicandDilutedNetLossIncomePerShareforEachClassofOrdinaryShareParentheticalsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisTable" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisTable_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Assets and Liabilities that are Measured at Fair Value on Recurring Basis [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisTable" xlink:to="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisLineItems" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisLineItems_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Assets and Liabilities that are Measured at Fair Value on Recurring Basis [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisLineItems" xlink:to="fact_FairValueMeasurementsDetailsScheduleofAssetsandLiabilitiesthatareMeasuredatFairValueonRecurringBasisLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyDomain_lbl" xml:lang="en-US">Related Party, Type [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyDomain" xlink:to="us-gaap_RelatedPartyDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:to="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SaleOfStockNameOfTransactionDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xml:lang="en-US">Sale of Stock [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockNameOfTransactionDomain" xlink:to="us-gaap_SaleOfStockNameOfTransactionDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesTable" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesTable_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Changes in the Fair Value of Warrant Liabilities [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesTable" xlink:to="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesLineItems" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesLineItems_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Changes in the Fair Value of Warrant Liabilities [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesLineItems" xlink:to="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofWarrantLiabilitiesLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesTable" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesTable_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Changes in the Fair Value of Level 3 Warrant Liabilities [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesTable" xlink:to="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesLineItems" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesLineItems_lbl" xml:lang="en-US">Fair Value Measurements (Details) - Schedule of Changes in the Fair Value of Level 3 Warrant Liabilities [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesLineItems" xlink:to="fact_FairValueMeasurementsDetailsScheduleofChangesintheFairValueofLevel3WarrantLiabilitiesLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xml:lang="en-US">Business Acquisition, Acquiree [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionAcquireeDomain" xlink:to="us-gaap_BusinessAcquisitionAcquireeDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrganizationandBusinessOperationsDetailsTable" xlink:href="fact-20230630.xsd#fact_OrganizationandBusinessOperationsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OrganizationandBusinessOperationsDetailsTable_lbl" xml:lang="en-US">Organization and Business Operations (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrganizationandBusinessOperationsDetailsTable" xlink:to="fact_OrganizationandBusinessOperationsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_OrganizationandBusinessOperationsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_OrganizationandBusinessOperationsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OrganizationandBusinessOperationsDetailsLineItems_lbl" xml:lang="en-US">Organization and Business Operations (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrganizationandBusinessOperationsDetailsLineItems" xlink:to="fact_OrganizationandBusinessOperationsDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsTable" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsTable_lbl" xml:lang="en-US">Significant Accounting Policies (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsTable" xlink:to="fact_SignificantAccountingPoliciesDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SignificantAccountingPoliciesDetailsLineItems" xlink:href="fact-20230630.xsd#fact_SignificantAccountingPoliciesDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SignificantAccountingPoliciesDetailsLineItems_lbl" xml:lang="en-US">Significant Accounting Policies (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SignificantAccountingPoliciesDetailsLineItems" xlink:to="fact_SignificantAccountingPoliciesDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InitialPublicOfferingDetailsTable" xlink:href="fact-20230630.xsd#fact_InitialPublicOfferingDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InitialPublicOfferingDetailsTable_lbl" xml:lang="en-US">Initial Public Offering (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InitialPublicOfferingDetailsTable" xlink:to="fact_InitialPublicOfferingDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_InitialPublicOfferingDetailsLineItems" xlink:href="fact-20230630.xsd#fact_InitialPublicOfferingDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InitialPublicOfferingDetailsLineItems_lbl" xml:lang="en-US">Initial Public Offering (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InitialPublicOfferingDetailsLineItems" xlink:to="fact_InitialPublicOfferingDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PrivatePlacementWarrantsDetailsTable" xlink:href="fact-20230630.xsd#fact_PrivatePlacementWarrantsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PrivatePlacementWarrantsDetailsTable_lbl" xml:lang="en-US">Private Placement Warrants (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PrivatePlacementWarrantsDetailsTable" xlink:to="fact_PrivatePlacementWarrantsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_PrivatePlacementWarrantsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_PrivatePlacementWarrantsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PrivatePlacementWarrantsDetailsLineItems_lbl" xml:lang="en-US">Private Placement Warrants (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PrivatePlacementWarrantsDetailsLineItems" xlink:to="fact_PrivatePlacementWarrantsDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionDomain_lbl" xml:lang="en-US">Related Party Transaction [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionDomain" xlink:to="us-gaap_RelatedPartyTransactionDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:href="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd#srt_TitleOfIndividualWithRelationshipToEntityDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xml:lang="en-US">Title of Individual [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:to="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_RelatedPartyTransactionsDetailsTable" xlink:href="fact-20230630.xsd#fact_RelatedPartyTransactionsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_RelatedPartyTransactionsDetailsTable_lbl" xml:lang="en-US">Related Party Transactions (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RelatedPartyTransactionsDetailsTable" xlink:to="fact_RelatedPartyTransactionsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_RelatedPartyTransactionsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_RelatedPartyTransactionsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_RelatedPartyTransactionsDetailsLineItems_lbl" xml:lang="en-US">Related Party Transactions (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RelatedPartyTransactionsDetailsLineItems" xlink:to="fact_RelatedPartyTransactionsDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_CommitmentsandContingenciesDetailsTable" xlink:href="fact-20230630.xsd#fact_CommitmentsandContingenciesDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_CommitmentsandContingenciesDetailsTable_lbl" xml:lang="en-US">Commitments and Contingencies (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CommitmentsandContingenciesDetailsTable" xlink:to="fact_CommitmentsandContingenciesDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_CommitmentsandContingenciesDetailsLineItems" xlink:href="fact-20230630.xsd#fact_CommitmentsandContingenciesDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_CommitmentsandContingenciesDetailsLineItems_lbl" xml:lang="en-US">Commitments and Contingencies (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CommitmentsandContingenciesDetailsLineItems" xlink:to="fact_CommitmentsandContingenciesDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ShareholdersDeficitDetailsTable" xlink:href="fact-20230630.xsd#fact_ShareholdersDeficitDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ShareholdersDeficitDetailsTable_lbl" xml:lang="en-US">Shareholders&#8217; Deficit (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ShareholdersDeficitDetailsTable" xlink:to="fact_ShareholdersDeficitDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_ShareholdersDeficitDetailsLineItems" xlink:href="fact-20230630.xsd#fact_ShareholdersDeficitDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ShareholdersDeficitDetailsLineItems_lbl" xml:lang="en-US">Shareholders&#8217; Deficit (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ShareholdersDeficitDetailsLineItems" xlink:to="fact_ShareholdersDeficitDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantsDetailsTable" xlink:href="fact-20230630.xsd#fact_WarrantsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantsDetailsTable_lbl" xml:lang="en-US">Warrants (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsDetailsTable" xlink:to="fact_WarrantsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_WarrantsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_WarrantsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantsDetailsLineItems_lbl" xml:lang="en-US">Warrants (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsDetailsLineItems" xlink:to="fact_WarrantsDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsTable" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsTable_lbl" xml:lang="en-US">Fair Value Measurements (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsTable" xlink:to="fact_FairValueMeasurementsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_FairValueMeasurementsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_FairValueMeasurementsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FairValueMeasurementsDetailsLineItems_lbl" xml:lang="en-US">Fair Value Measurements (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementsDetailsLineItems" xlink:to="fact_FairValueMeasurementsDetailsLineItems_lbl"/>
    <loc xlink:type="locator" xlink:label="dei_EntityDomain" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityDomain"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityDomain_lbl" xml:lang="en-US">Entity [Domain]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityDomain" xlink:to="dei_EntityDomain_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SubsequentEventsDetailsTable" xlink:href="fact-20230630.xsd#fact_SubsequentEventsDetailsTable"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SubsequentEventsDetailsTable_lbl" xml:lang="en-US">Subsequent Events (Details) [Table]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SubsequentEventsDetailsTable" xlink:to="fact_SubsequentEventsDetailsTable_lbl"/>
    <loc xlink:type="locator" xlink:label="fact_SubsequentEventsDetailsLineItems" xlink:href="fact-20230630.xsd#fact_SubsequentEventsDetailsLineItems"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SubsequentEventsDetailsLineItems_lbl" xml:lang="en-US">Subsequent Events (Details) [Line Items]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SubsequentEventsDetailsLineItems" xlink:to="fact_SubsequentEventsDetailsLineItems_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl0" xml:lang="en-US">The amount of accretion of Class A ordinary shares subject to possible redemption.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares" xlink:to="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_AggregateGrossProceeds_lbl0" xml:lang="en-US">Aggregate gross proceeds.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateGrossProceeds" xlink:to="fact_AggregateGrossProceeds_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_AggregatePurchasePrice_lbl0" xml:lang="en-US">The amount of aggregate purchase price.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregatePurchasePrice" xlink:to="fact_AggregatePurchasePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_AggregateSharesOfCommonStock_lbl1" xml:lang="en-US">Number of shares of stock issued as of the balance sheet date, including shares that had been issued and were previously outstanding but which are now held in the treasury.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateSharesOfCommonStock" xlink:to="fact_AggregateSharesOfCommonStock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_AmortizedCostAndCarryingValue_lbl0" xml:lang="en-US">Amortized cost and carrying value.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AmortizedCostAndCarryingValue" xlink:to="fact_AmortizedCostAndCarryingValue_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_BorrowingOfConvertiblePromissoryNote_lbl0" xml:lang="en-US">Amount of borrowing.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BorrowingOfConvertiblePromissoryNote" xlink:to="fact_BorrowingOfConvertiblePromissoryNote_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl0" xml:lang="en-US">Business combination fair market value equal percentage.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BusinessCombinationFairMarketValueEqualPercentage" xlink:to="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl0" xml:lang="en-US">Cash withdrawn from Trust Account in connection with redemptions.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions" xlink:to="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ChangeInFairValueOfWarrantLiabilities_lbl0" xml:lang="en-US">Change in fair value of warrant liabilities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ChangeInFairValueOfWarrantLiabilities" xlink:to="fact_ChangeInFairValueOfWarrantLiabilities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_CommonStockValueOne_lbl0" xml:lang="en-US">Aggregate par or stated value of issued nonredeemable common stock (or common stock redeemable solely at the option of the issuer). This item includes treasury stock repurchased by the entity. Note: elements for number of nonredeemable common shares, par value and other disclosure concepts are in another section within stockholders&apos; equity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CommonStockValueOne" xlink:to="fact_CommonStockValueOne_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ConsiderationPricePerShare_lbl0" xml:lang="en-US">Consideration price per share.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConsiderationPricePerShare" xlink:to="fact_ConsiderationPricePerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ConvertibleNoteAmount_lbl0" xml:lang="en-US">The amount of convertible note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNoteAmount" xlink:to="fact_ConvertibleNoteAmount_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ConvertibleNoteone_lbl0" xml:lang="en-US">The amount of convertible note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNoteone" xlink:to="fact_ConvertibleNoteone_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ConvertibleNotesTwo_lbl0" xml:lang="en-US">The amount of convertible note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNotesTwo" xlink:to="fact_ConvertibleNotesTwo_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock_lbl0" xml:lang="en-US">Disclosure of accounting policy related to convertible promissory note related party.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock" xlink:to="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_DeferredUnderwritingDiscountPerUnit_lbl0" xml:lang="en-US">Deferred underwriting discount, per unit.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingDiscountPerUnit" xlink:to="fact_DeferredUnderwritingDiscountPerUnit_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_DeferredUnderwritingFee_lbl0" xml:lang="en-US">Deferred underwriting fee.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingFee" xlink:to="fact_DeferredUnderwritingFee_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_DerivativeWarrantLiabilities_lbl0" xml:lang="en-US">Derivative warrant liabilities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DerivativeWarrantLiabilities" xlink:to="fact_DerivativeWarrantLiabilities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_EmergingGrowthCompanyStatusPolicyTextBlock_lbl0" xml:lang="en-US">The entire policy disclosure of Emerging Growth Company Status.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:to="fact_EmergingGrowthCompanyStatusPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_FairValueConvertiblePromissoryNotes_lbl1" xml:lang="en-US">Amount of fair value convertible promissory notes.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueConvertiblePromissoryNotes" xlink:to="fact_FairValueConvertiblePromissoryNotes_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_FairValueMeasurementStrikePrice_lbl0" xml:lang="en-US">Strike price.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FairValueMeasurementStrikePrice" xlink:to="fact_FairValueMeasurementStrikePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_GeneratingGrossProceeds_lbl0" xml:lang="en-US">The cash inflow associated with the amount received from entity&apos;s first offering of stock to the public.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_GeneratingGrossProceeds" xlink:to="fact_GeneratingGrossProceeds_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_InitialPublicOfferingPerShare_lbl0" xml:lang="en-US">The amount of  initial public offering</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InitialPublicOfferingPerShare" xlink:to="fact_InitialPublicOfferingPerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl0" xml:lang="en-US">Interest income on marketable securities held in Trust Account.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount" xlink:to="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_InvestmentsHeldInTrustAccountNet_lbl0" xml:lang="en-US">Total Investments held in Trust Account.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountNet" xlink:to="fact_InvestmentsHeldInTrustAccountNet_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl0" xml:lang="en-US">The amount of investments held in trust account.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund" xlink:to="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_IssuedAndOutstandingInterestPercentage_lbl0" xml:lang="en-US">Issued and outstanding interest percentage.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_IssuedAndOutstandingInterestPercentage" xlink:to="fact_IssuedAndOutstandingInterestPercentage_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_IssuedAndOutstandingShares_lbl0" xml:lang="en-US">Number of shares of stock issued as of the balance sheet date, including shares that had been issued and were previously outstanding but which are now held in the treasury.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_IssuedAndOutstandingShares" xlink:to="fact_IssuedAndOutstandingShares_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_NetProceeds_lbl0" xml:lang="en-US">Net proceeds.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetProceeds" xlink:to="fact_NetProceeds_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_NetProceedsOfTheSaleOfTheUnits_lbl0" xml:lang="en-US">Net proceeds of the sale of the Units.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetProceedsOfTheSaleOfTheUnits" xlink:to="fact_NetProceedsOfTheSaleOfTheUnits_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_NetTangibleAssets_lbl0" xml:lang="en-US">Net tangible assets.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetTangibleAssets" xlink:to="fact_NetTangibleAssets_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_OfficeSpaceAndAdministrativeSupportServices_lbl0" xml:lang="en-US">The amount of expenses for office space and administrative support services.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OfficeSpaceAndAdministrativeSupportServices" xlink:to="fact_OfficeSpaceAndAdministrativeSupportServices_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_OrdinaryShareIssuanceCosts_lbl0" xml:lang="en-US">The cash inflow from the additional capital contribution to the entity.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinaryShareIssuanceCosts" xlink:to="fact_OrdinaryShareIssuanceCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_OrdinaryShares_lbl0" xml:lang="en-US">The number of  ordinary shares.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinaryShares" xlink:to="fact_OrdinaryShares_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_OrdinarySharesSharesOutstanding_lbl0" xml:lang="en-US">Ordinary shares, shares outstanding.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinarySharesSharesOutstanding" xlink:to="fact_OrdinarySharesSharesOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_OrdinarySharesSubjectToPossibleRedemption_lbl0" xml:lang="en-US">Ordinary shares subject to possible redemption.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinarySharesSubjectToPossibleRedemption" xlink:to="fact_OrdinarySharesSubjectToPossibleRedemption_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_PartialReversalOfTransactionCosts_lbl0" xml:lang="en-US">Partial reversal of transaction costs incurred in connection with IPO.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PartialReversalOfTransactionCosts" xlink:to="fact_PartialReversalOfTransactionCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_PrivatePlacementWarrantsDisclosureTextBlock_lbl0" xml:lang="en-US">The entire disclosure of Private Placement.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PrivatePlacementWarrantsDisclosureTextBlock" xlink:to="fact_PrivatePlacementWarrantsDisclosureTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl0" xml:lang="en-US">Amount of Proceeds received in excess of initial fair value of convertible promissory note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:to="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ProceedsFromGrossProceedsFromIPO_lbl0" xml:lang="en-US">The amonut is gross proceeds from IPO.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedsFromGrossProceedsFromIPO" xlink:to="fact_ProceedsFromGrossProceedsFromIPO_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl0" xml:lang="en-US">Amount of proceeds received in excess of initial fair value of convertible promissory note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:to="fact_ProceedsReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_PromissioryNoteRelatedParty_lbl0" xml:lang="en-US">The amount is related party promissiory note.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PromissioryNoteRelatedParty" xlink:to="fact_PromissioryNoteRelatedParty_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ProposedPublicOfferingDisclosureTextBlock_lbl0" xml:lang="en-US">Disclosure of initial public offering.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProposedPublicOfferingDisclosureTextBlock" xlink:to="fact_ProposedPublicOfferingDisclosureTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_PublicPerShare_lbl0" xml:lang="en-US">Public per share.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicPerShare" xlink:to="fact_PublicPerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_RedeemPublicSharesPercentage_lbl0" xml:lang="en-US">Redeem public shares, percentage.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RedeemPublicSharesPercentage" xlink:to="fact_RedeemPublicSharesPercentage_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_RedemptionsOfWarrantsDescription_lbl0" xml:lang="en-US">Redemptions of warrants, description.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RedemptionsOfWarrantsDescription" xlink:to="fact_RedemptionsOfWarrantsDescription_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_SaleOfOrdinarySharesRedemption_lbl0" xml:lang="en-US">Number of ordinary share sale of redemption.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SaleOfOrdinarySharesRedemption" xlink:to="fact_SaleOfOrdinarySharesRedemption_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of changes in the fair value of level 3 warrant liabilities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock" xlink:to="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock_lbl0" xml:lang="en-US">Tabular disclosure of fair value of the convertible promissory notes.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock" xlink:to="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates_lbl0" xml:lang="en-US">The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates" xlink:to="fact_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRates_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_ShareIssued_lbl0" xml:lang="en-US">Shares issued.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ShareIssued" xlink:to="fact_ShareIssued_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_Shareoutstanding_lbl0" xml:lang="en-US">Shares outstanding.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_Shareoutstanding" xlink:to="fact_Shareoutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_SharesSubjectToPossibleRedemption_lbl0" xml:lang="en-US">Shares subject to possible redemption.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SharesSubjectToPossibleRedemption" xlink:to="fact_SharesSubjectToPossibleRedemption_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_SponsorPaidAveragePrice_lbl0" xml:lang="en-US">Sponsor paid average price.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorPaidAveragePrice" xlink:to="fact_SponsorPaidAveragePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_SponsorShare_lbl0" xml:lang="en-US">The shares for sponsor.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorShare" xlink:to="fact_SponsorShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_StockIssuedDuringPeriodSponsorAmount_lbl0" xml:lang="en-US">Sponsor amount.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_StockIssuedDuringPeriodSponsorAmount" xlink:to="fact_StockIssuedDuringPeriodSponsorAmount_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl1" xml:lang="en-US">Total number of ordinary shares outstanding percentage.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalNumberOfOrdinarySharesOutstandingPercentage" xlink:to="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TotalTransactionCost_lbl0" xml:lang="en-US">Total transaction cost.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalTransactionCost" xlink:to="fact_TotalTransactionCost_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TotalWarrantLiabilities_lbl0" xml:lang="en-US">Total warrant liabilities.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalWarrantLiabilities" xlink:to="fact_TotalWarrantLiabilities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TradingSecuritiesFairValue_lbl0" xml:lang="en-US">The amount of trading securities fair value.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TradingSecuritiesFairValue" xlink:to="fact_TradingSecuritiesFairValue_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TrustAccountPerShare_lbl0" xml:lang="en-US">Trust account per share.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TrustAccountPerShare" xlink:to="fact_TrustAccountPerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_TrustProceeds_lbl0" xml:lang="en-US">The amount of trust proceeds.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TrustProceeds" xlink:to="fact_TrustProceeds_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantExpirationTerm_lbl0" xml:lang="en-US">Warrant expiration term.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantExpirationTerm" xlink:to="fact_WarrantExpirationTerm_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantLiabilitiesPrivateWarrants_lbl0" xml:lang="en-US">Warrant liabilities private warrants.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPrivateWarrants" xlink:to="fact_WarrantLiabilitiesPrivateWarrants_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantLiabilitiesPublicWarrants_lbl0" xml:lang="en-US">Warrant liabilities public warrants.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPublicWarrants" xlink:to="fact_WarrantLiabilitiesPublicWarrants_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantTerm_lbl0" xml:lang="en-US">Warrant term.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantTerm" xlink:to="fact_WarrantTerm_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantsDisclosureTextBlock_lbl0" xml:lang="en-US">Disclosure of warrants.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsDisclosureTextBlock" xlink:to="fact_WarrantsDisclosureTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WarrantsPurchase_lbl0" xml:lang="en-US">Warrants purchase.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsPurchase" xlink:to="fact_WarrantsPurchase_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="fact_WorkingCapitalLoans_lbl0" xml:lang="en-US">Working capital loans.</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WorkingCapitalLoans" xlink:to="fact_WorkingCapitalLoans_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl0" xml:lang="en-US">Supplemental Cash Flow Information [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="us-gaap_SupplementalCashFlowInformationAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SponsorShare_lbl1" xml:lang="en-US">Sponsor Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorShare" xlink:to="fact_SponsorShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl1" xml:lang="en-US">Investments Held In Trust Account USMoney Market Fund</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund" xlink:to="fact_InvestmentsHeldInTrustAccountUSMoneyMarketFund_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherOwnershipInterestsOfferingCosts_lbl0" xml:lang="en-US">Other Ownership Interests, Offering Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherOwnershipInterestsOfferingCosts" xlink:to="us-gaap_OtherOwnershipInterestsOfferingCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RedemptionPremium_lbl0" xml:lang="en-US">Redemption Premium</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RedemptionPremium" xlink:to="us-gaap_RedemptionPremium_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentPolicyTextBlock_lbl0" xml:lang="en-US">Investment, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentPolicyTextBlock" xlink:to="us-gaap_InvestmentPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_AmortizedCostAndCarryingValue_lbl1" xml:lang="en-US">Amortized Cost And Carrying Value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AmortizedCostAndCarryingValue" xlink:to="fact_AmortizedCostAndCarryingValue_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetsAbstract_lbl0" xml:lang="en-US">Assets [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsAbstract" xlink:to="us-gaap_AssetsAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityFileNumber_lbl0" xml:lang="en-US">Entity File Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityFileNumber" xlink:to="dei_EntityFileNumber_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntitySmallBusiness_lbl0" xml:lang="en-US">Entity Small Business</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntitySmallBusiness" xlink:to="dei_EntitySmallBusiness_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl0" xml:lang="en-US">Shares Issued, Price Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharesIssuedPricePerShare" xlink:to="us-gaap_SharesIssuedPricePerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl0" xml:lang="en-US">Adjustments to Additional Paid in Capital, Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther" xlink:to="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PublicMember_lbl0" xml:lang="en-US">Public Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicMember" xlink:to="fact_PublicMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_InvestmentIncomeInterest_lbl0" xml:lang="en-US">Investment Income, Interest</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeInterest" xlink:to="us-gaap_InvestmentIncomeInterest_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl1" xml:lang="en-US">Temporary Equity, Carrying Amount, Attributable to Parent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityCarryingAmountAttributableToParent" xlink:to="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl1" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Basic</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonClassBMember_lbl2" xml:lang="en-US">Common Class B [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassBMember" xlink:to="us-gaap_CommonClassBMember_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantExpirationTerm_lbl1" xml:lang="en-US">Warrant Expiration Term</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantExpirationTerm" xlink:to="fact_WarrantExpirationTerm_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl0" xml:lang="en-US">Warrants and Rights Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantsAndRightsOutstanding" xlink:to="us-gaap_WarrantsAndRightsOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PublicPerShare_lbl1" xml:lang="en-US">Public Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicPerShare" xlink:to="fact_PublicPerShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties_lbl0" xml:lang="en-US">Proceeds from Collection of Long-Term Loans to Related Parties</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties" xlink:to="us-gaap_ProceedsFromCollectionOfLongtermLoansToRelatedParties_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PublicWarrantsMember_lbl0" xml:lang="en-US">Public Warrants Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PublicWarrantsMember" xlink:to="fact_PublicWarrantsMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockholdersEquityOtherShares_lbl0" xml:lang="en-US">Stockholders&apos; Equity, Other Shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityOtherShares" xlink:to="us-gaap_StockholdersEquityOtherShares_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_IssuedAndOutstandingInterestPercentage_lbl1" xml:lang="en-US">Issued And Outstanding Interest Percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_IssuedAndOutstandingInterestPercentage" xlink:to="fact_IssuedAndOutstandingInterestPercentage_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockholdersEquityAbstract_lbl0" xml:lang="en-US">Equity, Attributable to Parent [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityAbstract" xlink:to="us-gaap_StockholdersEquityAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl0" xml:lang="en-US">Equity [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:to="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_BasicAndDilutedNetLossIncomePerShareAbstract_lbl0" xml:lang="en-US">Basic And Diluted Net Loss Income Per Share Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BasicAndDilutedNetLossIncomePerShareAbstract" xlink:to="fact_BasicAndDilutedNetLossIncomePerShareAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl0" xml:lang="en-US">Business Acquisition, Transaction Costs</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:to="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PrepaidExpenseCurrent_lbl0" xml:lang="en-US">Prepaid Expense, Current</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PrepaidExpenseCurrent" xlink:to="us-gaap_PrepaidExpenseCurrent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl1" xml:lang="en-US">Preferred Stock, Shares Authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesAuthorized" xlink:to="us-gaap_PreferredStockSharesAuthorized_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_LocalPhoneNumber_lbl0" xml:lang="en-US">Local Phone Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_LocalPhoneNumber" xlink:to="dei_LocalPhoneNumber_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl0" xml:lang="en-US">Increase (Decrease) in Accounts Payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccountsPayable" xlink:to="us-gaap_IncreaseDecreaseInAccountsPayable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TotalWarrantLiabilities_lbl1" xml:lang="en-US">Total Warrant Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalWarrantLiabilities" xlink:to="fact_TotalWarrantLiabilities_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl1" xml:lang="en-US">Business Combination Fair Market Value Equal Percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BusinessCombinationFairMarketValueEqualPercentage" xlink:to="fact_BusinessCombinationFairMarketValueEqualPercentage_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SaleOfOrdinarySharesRedemption_lbl1" xml:lang="en-US">Sale Of Ordinary Shares Redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SaleOfOrdinarySharesRedemption" xlink:to="fact_SaleOfOrdinarySharesRedemption_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Investing Activities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl0" xml:lang="en-US">Entity Common Stock, Shares Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCommonStockSharesOutstanding" xlink:to="dei_EntityCommonStockSharesOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerShareDiluted_lbl1" xml:lang="en-US">Earnings Per Share, Diluted</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareDiluted" xlink:to="us-gaap_EarningsPerShareDiluted_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl0" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RetainedEarningsMember_lbl0" xml:lang="en-US">Retained Earnings [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RetainedEarningsMember" xlink:to="us-gaap_RetainedEarningsMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PreferredStockSharesIssued_lbl0" xml:lang="en-US">Preferred Stock, Shares Issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PreferredStockSharesIssued" xlink:to="us-gaap_PreferredStockSharesIssued_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl2" xml:lang="en-US">Deferred Compensation Liability, Classified, Noncurrent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent" xlink:to="us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantAgreementMember_lbl0" xml:lang="en-US">Warrant Agreement Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantAgreementMember" xlink:to="fact_WarrantAgreementMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantsPurchase_lbl1" xml:lang="en-US">Warrants Purchase</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsPurchase" xlink:to="fact_WarrantsPurchase_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl0" xml:lang="en-US">Fair Value Disclosures [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueDisclosuresTextBlock" xlink:to="us-gaap_FairValueDisclosuresTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Investing Activities [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DenominatorAbstract_lbl0" xml:lang="en-US">Denominator Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DenominatorAbstract" xlink:to="fact_DenominatorAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl0" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Excluding Exchange Rate Effect</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_BusinessAcquisitionDescriptionOfAcquiredEntity_lbl0" xml:lang="en-US">Business Acquisition, Description of Acquired Entity</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionDescriptionOfAcquiredEntity" xlink:to="us-gaap_BusinessAcquisitionDescriptionOfAcquiredEntity_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl0" xml:lang="en-US">Significant Accounting Policies [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="us-gaap_SignificantAccountingPoliciesTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityAddressAddressLine1_lbl0" xml:lang="en-US">Entity Address, Address Line One</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressAddressLine1" xlink:to="dei_EntityAddressAddressLine1_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl0" xml:lang="en-US">Related Party Transaction, Amounts of Transaction</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="us-gaap_RelatedPartyTransactionAmountsOfTransaction_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityIncorporationStateCountryCode_lbl0" xml:lang="en-US">Entity Incorporation, State or Country Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityIncorporationStateCountryCode" xlink:to="dei_EntityIncorporationStateCountryCode_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_SecurityExchangeName_lbl0" xml:lang="en-US">Security Exchange Name</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_SecurityExchangeName" xlink:to="dei_SecurityExchangeName_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DenominatorAbstract0_lbl0" xml:lang="en-US">Denominator Abstract0</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl1" xml:lang="en-US">Common Stock, Par or Stated Value Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="us-gaap_CommonStockParOrStatedValuePerShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_RedeemPublicSharesPercentage_lbl1" xml:lang="en-US">Redeem Public Shares Percentage</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesOutstanding" xlink:to="us-gaap_CommonStockSharesOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ExcessStockSharesOutstanding_lbl0" xml:lang="en-US">Excess Stock, Shares Outstanding</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl0" xml:lang="en-US">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OfficeSpaceAndAdministrativeSupportServices_lbl1" xml:lang="en-US">Office Space And Administrative Support Services</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl0" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl0" xml:lang="en-US">Increase (Decrease) in Operating Capital [Abstract]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_UnlabeledAbstract10_lbl0" xml:lang="en-US">Unlabeled Abstract10</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfChangesInTheFairValueOfLevel3WarrantLiabilitiesTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Changes In The Fair Value Of Level3 Warrant Liabilities Table Text Block</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_promissoryNoteMember_lbl0" xml:lang="en-US">promissory Note Member</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OrdinaryShareIssuanceCosts_lbl1" xml:lang="en-US">Ordinary Share Issuance Costs</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl0" xml:lang="en-US">Class of Warrant or Right, Number of Securities Called by Each Warrant or Right</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl1" xml:lang="en-US">Common Stock, Shares Authorized</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockSharesAuthorized" xlink:to="us-gaap_CommonStockSharesAuthorized_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetsHeldInTrustNoncurrent_lbl0" xml:lang="en-US">Asset, Held-in-Trust, Noncurrent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsHeldInTrustNoncurrent" xlink:to="us-gaap_AssetsHeldInTrustNoncurrent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_lbl0" xml:lang="en-US">Proceeds from Issuance of Unsecured Debt</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:to="us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl1" xml:lang="en-US">Accretion Of Class AOrdinary Shares Subject To Possible Redemptionin Shares</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares" xlink:to="fact_AccretionOfClassAOrdinarySharesSubjectToPossibleRedemptioninShares_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherAssets_lbl0" xml:lang="en-US">Other Assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherAssets" xlink:to="us-gaap_OtherAssets_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockholdersEquity_lbl2" xml:lang="en-US">Equity, Attributable to Parent</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquity" xlink:to="us-gaap_StockholdersEquity_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_AggregateGrossProceeds_lbl1" xml:lang="en-US">Aggregate Gross Proceeds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregateGrossProceeds" xlink:to="fact_AggregateGrossProceeds_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_Shareoutstanding_lbl1" xml:lang="en-US">Shareoutstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_Shareoutstanding" xlink:to="fact_Shareoutstanding_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl1" xml:lang="en-US">Cash Withdrawn From Trust Account In Connection With Redemptions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions" xlink:to="fact_CashWithdrawnFromTrustAccountInConnectionWithRedemptions_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock_lbl1" xml:lang="en-US">Convertible Promissory Note Related Party Policy Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock" xlink:to="fact_ConvertiblePromissoryNoteRelatedPartyPolicyTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl0" xml:lang="en-US">Related Party Transactions Disclosure [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl0"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfQuantitativeInformationRegardingLevel3FairValueMeasurementsAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfQuantitativeInformationRegardingLevel3FairValueMeasurementsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfQuantitativeInformationRegardingLevel3FairValueMeasurementsAbstract_lbl" xml:lang="en-US">Schedule Of Quantitative Information Regarding Level3 Fair Value Measurements Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfQuantitativeInformationRegardingLevel3FairValueMeasurementsAbstract" xlink:to="fact_ScheduleOfQuantitativeInformationRegardingLevel3FairValueMeasurementsAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SecuritiesBorrowed_lbl0" xml:lang="en-US">Securities Borrowed</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SecuritiesBorrowed" xlink:to="us-gaap_SecuritiesBorrowed_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DeferredUnderwritingFee_lbl1" xml:lang="en-US">Deferred Underwriting Fee</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingFee" xlink:to="fact_DeferredUnderwritingFee_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl0" xml:lang="en-US">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl0" xml:lang="en-US">Sale of Stock, Number of Shares Issued in Transaction</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:to="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare_lbl0" xml:lang="en-US">Forward Contract Indexed to Equity, Settlement, Share, Fair Value Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare" xlink:to="us-gaap_ForwardContractIndexedToEquitySettlementShareFairValuePerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_FounderSharesMember_lbl0" xml:lang="en-US">Founder Shares Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_FounderSharesMember" xlink:to="fact_FounderSharesMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xml:lang="en-US">Statement of Financial Position [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfFinancialPositionAbstract" xlink:to="us-gaap_StatementOfFinancialPositionAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OrdinarySharesSubjectToPossibleRedemption_lbl1" xml:lang="en-US">Ordinary Shares Subject To Possible Redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_OrdinarySharesSubjectToPossibleRedemption" xlink:to="fact_OrdinarySharesSubjectToPossibleRedemption_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl0" xml:lang="en-US">Stock Issued During Period, Value, Other</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueOther" xlink:to="us-gaap_StockIssuedDuringPeriodValueOther_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_TemporaryEquityNetIncome_lbl0" xml:lang="en-US">Temporary Equity, Net Income</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityNetIncome" xlink:to="us-gaap_TemporaryEquityNetIncome_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_DocumentType_lbl0" xml:lang="en-US">Document Type</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentType" xlink:to="dei_DocumentType_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions_lbl0" xml:lang="en-US">Asset at Fair Value, Changes in Fair Value Resulting from Changes in Assumptions</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions" xlink:to="us-gaap_AssetAtFairValueChangesInFairValueResultingFromChangesInAssumptions_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityTaxIdentificationNumber_lbl0" xml:lang="en-US">Entity Tax Identification Number</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityTaxIdentificationNumber" xlink:to="dei_EntityTaxIdentificationNumber_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityAddressPostalZipCode_lbl0" xml:lang="en-US">Entity Address, Postal Zip Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressPostalZipCode" xlink:to="dei_EntityAddressPostalZipCode_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ChangeInFairValueOfWarrantLiabilities_lbl1" xml:lang="en-US">Change In Fair Value Of Warrant Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ChangeInFairValueOfWarrantLiabilities" xlink:to="fact_ChangeInFairValueOfWarrantLiabilities_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_NetProceedsOfTheSaleOfTheUnits_lbl1" xml:lang="en-US">Net Proceeds Of The Sale Of The Units</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NetProceedsOfTheSaleOfTheUnits" xlink:to="fact_NetProceedsOfTheSaleOfTheUnits_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl0" xml:lang="en-US">New Accounting Pronouncements, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:to="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_DocumentFiscalPeriodFocus_lbl0" xml:lang="en-US">Document Fiscal Period Focus</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentFiscalPeriodFocus" xlink:to="dei_DocumentFiscalPeriodFocus_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityInteractiveDataCurrent_lbl0" xml:lang="en-US">Entity Interactive Data Current</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityInteractiveDataCurrent" xlink:to="dei_EntityInteractiveDataCurrent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl0" xml:lang="en-US">Proceeds from Issuance of Common Stock</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="srt_DirectorMember_lbl0" xml:lang="en-US">Director [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_DirectorMember" xlink:to="srt_DirectorMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockNoParValue_lbl0" xml:lang="en-US">Common Stock, No Par Value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockNoParValue" xlink:to="us-gaap_CommonStockNoParValue_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ConvertiblePromissoryNotesMember_lbl0" xml:lang="en-US">Convertible Promissory Notes Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertiblePromissoryNotesMember" xlink:to="fact_ConvertiblePromissoryNotesMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_NumeratorAbstract_lbl0" xml:lang="en-US">Numerator Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NumeratorAbstract" xlink:to="fact_NumeratorAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_TradingSymbol_lbl0" xml:lang="en-US">Trading Symbol</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_TradingSymbol" xlink:to="dei_TradingSymbol_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WorkingCapitalLoans_lbl1" xml:lang="en-US">Working Capital Loans</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WorkingCapitalLoans" xlink:to="fact_WorkingCapitalLoans_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl2" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TotalTransactionCost_lbl1" xml:lang="en-US">Total Transaction Cost</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalTransactionCost" xlink:to="fact_TotalTransactionCost_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl0" xml:lang="en-US">Derivatives, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DerivativesPolicyTextBlock" xlink:to="us-gaap_DerivativesPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_DocumentPeriodEndDate_lbl0" xml:lang="en-US">Document Period End Date</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentPeriodEndDate" xlink:to="dei_DocumentPeriodEndDate_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl1" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel3Member" xlink:to="us-gaap_FairValueInputsLevel3Member_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SponsorPaidAveragePrice_lbl1" xml:lang="en-US">Sponsor Paid Average Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SponsorPaidAveragePrice" xlink:to="fact_SponsorPaidAveragePrice_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfAssetsAndLiabilitiesThatAreMeasuredAtFairValueOnRecurringBasisAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfAssetsAndLiabilitiesThatAreMeasuredAtFairValueOnRecurringBasisAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfAssetsAndLiabilitiesThatAreMeasuredAtFairValueOnRecurringBasisAbstract_lbl" xml:lang="en-US">Schedule Of Assets And Liabilities That Are Measured At Fair Value On Recurring Basis Abstract</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PromissioryNoteRelatedParty_lbl1" xml:lang="en-US">Promissiory Note Related Party</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PromissioryNoteRelatedParty" xlink:to="fact_PromissioryNoteRelatedParty_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerShareBasic_lbl1" xml:lang="en-US">Earnings Per Share, Basic</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasic" xlink:to="us-gaap_EarningsPerShareBasic_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl0" xml:lang="en-US">US Treasury Securities [Member]</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DescriptionAbstract_lbl0" xml:lang="en-US">Description Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DescriptionAbstract" xlink:to="fact_DescriptionAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_Liabilities_lbl0" xml:lang="en-US">Liabilities</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Liabilities" xlink:to="us-gaap_Liabilities_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherNotesPayableCurrent_lbl0" xml:lang="en-US">Other Notes Payable, Current</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherNotesPayableCurrent" xlink:to="us-gaap_OtherNotesPayableCurrent_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xml:lang="en-US">Statement of Stockholders&apos; Equity [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfStockholdersEquityAbstract" xlink:to="us-gaap_StatementOfStockholdersEquityAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommitmentsAndContingencies_lbl0" xml:lang="en-US">Commitments and Contingencies</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InvestmentsHeldInTrustAccountNet_lbl1" xml:lang="en-US">Investments Held In Trust Account Net</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InvestmentsHeldInTrustAccountNet" xlink:to="fact_InvestmentsHeldInTrustAccountNet_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockValueOutstanding_lbl0" xml:lang="en-US">Common Stock, Value, Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockValueOutstanding" xlink:to="us-gaap_CommonStockValueOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityAddressCityOrTown_lbl0" xml:lang="en-US">Entity Address, City or Town</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressCityOrTown" xlink:to="dei_EntityAddressCityOrTown_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl0" xml:lang="en-US">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Dividend Rate</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_BorrowingOfConvertiblePromissoryNote_lbl1" xml:lang="en-US">Borrowing Of Convertible Promissory Note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BorrowingOfConvertiblePromissoryNote" xlink:to="fact_BorrowingOfConvertiblePromissoryNote_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockValue_lbl0" xml:lang="en-US">Common Stock, Value, Issued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockValue" xlink:to="us-gaap_CommonStockValue_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl0" xml:lang="en-US">Proceeds from Issuance of Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceOfWarrants" xlink:to="us-gaap_ProceedsFromIssuanceOfWarrants_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_WarrantExercisePriceDecrease_lbl0" xml:lang="en-US">Warrant, Exercise Price, Decrease</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WarrantExercisePriceDecrease" xlink:to="us-gaap_WarrantExercisePriceDecrease_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityFilerCategory_lbl0" xml:lang="en-US">Entity Filer Category</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityFilerCategory" xlink:to="dei_EntityFilerCategory_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharesSubjectToMandatoryRedemptionChangesInRedemptionValuePolicyTextBlock_lbl0" xml:lang="en-US">Shares Subject to Mandatory Redemption, Changes in Redemption Value, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharesSubjectToMandatoryRedemptionChangesInRedemptionValuePolicyTextBlock" xlink:to="us-gaap_SharesSubjectToMandatoryRedemptionChangesInRedemptionValuePolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_OrdinarySharesSharesOutstanding_lbl1" xml:lang="en-US">Ordinary Shares Shares Outstanding</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SubsequentEventDescription_lbl0" xml:lang="en-US">Subsequent Event, Description</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventDescription" xlink:to="us-gaap_SubsequentEventDescription_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_Assets_lbl0" xml:lang="en-US">Assets</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Assets" xlink:to="us-gaap_Assets_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IPOMember_lbl1" xml:lang="en-US">IPO [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IPOMember" xlink:to="us-gaap_IPOMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_PaymentsToAcquireOtherInvestments_lbl0" xml:lang="en-US">Payments to Acquire Other Investments</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireOtherInvestments" xlink:to="us-gaap_PaymentsToAcquireOtherInvestments_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromSaleOfTrustAssetsToPayExpenses_lbl0" xml:lang="en-US">Proceeds from Sale of Trust Assets to Pay Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromSaleOfTrustAssetsToPayExpenses" xlink:to="us-gaap_ProceedsFromSaleOfTrustAssetsToPayExpenses_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl1" xml:lang="en-US">Expense Related to Distribution or Servicing and Underwriting Fees</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees" xlink:to="us-gaap_ExpenseRelatedToDistributionOrServicingAndUnderwritingFees_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl0" xml:lang="en-US">Subsequent Events [Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventsTextBlock" xlink:to="us-gaap_SubsequentEventsTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityAddressStateOrProvince_lbl0" xml:lang="en-US">Entity Address, State or Province</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityAddressStateOrProvince" xlink:to="dei_EntityAddressStateOrProvince_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract_lbl0" xml:lang="en-US">Liabilities Redeemable Ordinary Shares And Shareholders Deficit Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract" xlink:to="fact_LiabilitiesRedeemableOrdinarySharesAndShareholdersDeficitAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl1" xml:lang="en-US">Proceed Received In Excess Of Initial Fair Value Of Convertible Promissory Note</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote" xlink:to="fact_ProceedReceivedInExcessOfInitialFairValueOfConvertiblePromissoryNote_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl0" xml:lang="en-US">Nonoperating Income (Expense) [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NonoperatingIncomeExpenseAbstract" xlink:to="us-gaap_NonoperatingIncomeExpenseAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TradingSecuritiesFairValue_lbl1" xml:lang="en-US">Trading Securities Fair Value</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TradingSecuritiesFairValue" xlink:to="fact_TradingSecuritiesFairValue_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_UseOfEstimates_lbl0" xml:lang="en-US">Use of Estimates, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UseOfEstimates" xlink:to="us-gaap_UseOfEstimates_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_CompleteSolariaMember_lbl0" xml:lang="en-US">Complete Solaria Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CompleteSolariaMember" xlink:to="fact_CompleteSolariaMember_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_IncomeStatementAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeStatementAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xml:lang="en-US">Income Statement [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeStatementAbstract" xlink:to="us-gaap_IncomeStatementAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare_lbl0" xml:lang="en-US">Option Contract Indexed to Equity, Settlement, Number of Shares, Effect of Change in Fair Value of Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare" xlink:to="us-gaap_OptionContractIndexedToEquitySettlementNumberOfSharesEffectOfChangeInFairValueOfShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DeferredUnderwritingDiscountPerUnit_lbl1" xml:lang="en-US">Deferred Underwriting Discount Per Unit</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DeferredUnderwritingDiscountPerUnit" xlink:to="fact_DeferredUnderwritingDiscountPerUnit_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_DocumentTransitionReport_lbl0" xml:lang="en-US">Document Transition Report</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_DocumentTransitionReport" xlink:to="dei_DocumentTransitionReport_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember_lbl0" xml:lang="en-US">Class AOrdinary Shares Subject To Possible Redemption Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember" xlink:to="fact_ClassAOrdinarySharesSubjectToPossibleRedemptionMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockOptionExercisePriceIncrease_lbl0" xml:lang="en-US">Stock Option, Exercise Price, Increase</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockOptionExercisePriceIncrease" xlink:to="us-gaap_StockOptionExercisePriceIncrease_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockConvertibleConversionPriceDecrease_lbl0" xml:lang="en-US">Common Stock, Convertible, Conversion Price, Decrease</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockConvertibleConversionPriceDecrease" xlink:to="us-gaap_CommonStockConvertibleConversionPriceDecrease_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityShellCompany_lbl0" xml:lang="en-US">Entity Shell Company</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityShellCompany" xlink:to="dei_EntityShellCompany_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_CommonStockValueOne_lbl1" xml:lang="en-US">Common Stock Value One</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_CommonStockValueOne" xlink:to="fact_CommonStockValueOne_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockMember_lbl1" xml:lang="en-US">Common Stock [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockMember" xlink:to="us-gaap_CommonStockMember_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl1" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueInputsLevel1Member" xlink:to="us-gaap_FairValueInputsLevel1Member_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member_lbl0" xml:lang="en-US">Redeemable Warrants Each Whole Warrant Exercisable For One Class AOrdinary Share At An Exercise Price Of1150 Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member" xlink:to="fact_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150Member_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CashMember_lbl0" xml:lang="en-US">Cash [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashMember" xlink:to="us-gaap_CashMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_BusinessCombinationMember_lbl0" xml:lang="en-US">Business Combination Member</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_BusinessCombinationMember" xlink:to="fact_BusinessCombinationMember_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromNotesPayable_lbl0" xml:lang="en-US">Proceeds from Notes Payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromNotesPayable" xlink:to="us-gaap_ProceedsFromNotesPayable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ConsiderationPricePerShare_lbl1" xml:lang="en-US">Consideration Price Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConsiderationPricePerShare" xlink:to="fact_ConsiderationPricePerShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl1" xml:lang="en-US">Interest Income On Marketable Securities Held In Trust Account</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount" xlink:to="fact_InterestIncomeOnMarketableSecuritiesHeldInTrustAccount_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonStockOtherSharesOutstanding_lbl0" xml:lang="en-US">Common Stock, Other Shares, Outstanding</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockOtherSharesOutstanding" xlink:to="us-gaap_CommonStockOtherSharesOutstanding_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_TemporaryEquityAccretionToRedemptionValue_lbl0" xml:lang="en-US">Temporary Equity, Accretion to Redemption Value</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TemporaryEquityRedemptionPricePerShare" xlink:to="us-gaap_TemporaryEquityRedemptionPricePerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfFairValueOfTheConvertiblePromissoryNotesTableTextBlock_lbl1" xml:lang="en-US">Schedule Of Fair Value Of The Convertible Promissory Notes Table Text Block</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_NetTangibleAssets_lbl1" xml:lang="en-US">Net Tangible Assets</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl0" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities</label>
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    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInPrepaidExpense" xlink:to="us-gaap_IncreaseDecreaseInPrepaidExpense_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl2" xml:lang="en-US">Total Number Of Ordinary Shares Outstanding Percentage</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TotalNumberOfOrdinarySharesOutstandingPercentage" xlink:to="fact_TotalNumberOfOrdinarySharesOutstandingPercentage_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_CommonClassAMember_lbl2" xml:lang="en-US">Common Class A [Member]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonClassAMember" xlink:to="us-gaap_CommonClassAMember_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityRegistrantName_lbl0" xml:lang="en-US">Entity Registrant Name</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityRegistrantName" xlink:to="dei_EntityRegistrantName_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl0" xml:lang="en-US">Sale of Stock, Price Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockPricePerShare" xlink:to="us-gaap_SaleOfStockPricePerShare_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantsDisclosureTextBlock_lbl1" xml:lang="en-US">Warrants Disclosure Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantsDisclosureTextBlock" xlink:to="fact_WarrantsDisclosureTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_CityAreaCode_lbl0" xml:lang="en-US">City Area Code</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_CityAreaCode" xlink:to="dei_CityAreaCode_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued_lbl0" xml:lang="en-US">Stock Issued During Period, Value, Treasury Stock Reissued</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued" xlink:to="us-gaap_StockIssuedDuringPeriodValueTreasuryStockReissued_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_AmendmentFlag_lbl0" xml:lang="en-US">Amendment Flag</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_AmendmentFlag" xlink:to="dei_AmendmentFlag_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_NumeratorAbstract0_lbl0" xml:lang="en-US">Numerator Abstract0</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_NumeratorAbstract0" xlink:to="fact_NumeratorAbstract0_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ConvertibleNoteone_lbl1" xml:lang="en-US">Convertible Noteone</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNoteone" xlink:to="fact_ConvertibleNoteone_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl0" xml:lang="en-US">Stock Issued During Period, Shares, Issued for Services</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices" xlink:to="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantTerm_lbl1" xml:lang="en-US">Warrant Term</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantTerm" xlink:to="fact_WarrantTerm_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl0" xml:lang="en-US">Deferred Charges, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredChargesPolicyTextBlock" xlink:to="us-gaap_DeferredChargesPolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_lbl0" xml:lang="en-US">Gain (Loss), Foreign Currency Transaction, before Tax</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:to="us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OperatingIncomeLoss_lbl0" xml:lang="en-US">Operating Income (Loss)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingIncomeLoss" xlink:to="us-gaap_OperatingIncomeLoss_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityCentralIndexKey_lbl0" xml:lang="en-US">Entity Central Index Key</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityCentralIndexKey" xlink:to="dei_EntityCentralIndexKey_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_AggregatePurchasePrice_lbl1" xml:lang="en-US">Aggregate Purchase Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AggregatePurchasePrice" xlink:to="fact_AggregatePurchasePrice_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OtherNotesPayable_lbl0" xml:lang="en-US">Other Notes Payable</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherNotesPayable" xlink:to="us-gaap_OtherNotesPayable_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl0" xml:lang="en-US">Liabilities, Current [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilitiesCurrentAbstract" xlink:to="us-gaap_LiabilitiesCurrentAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl0" xml:lang="en-US">Nonoperating Income (Expense)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NonoperatingIncomeExpense" xlink:to="us-gaap_NonoperatingIncomeExpense_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TrustAccountPerShare_lbl1" xml:lang="en-US">Trust Account Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TrustAccountPerShare" xlink:to="fact_TrustAccountPerShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ProceedsFromGrossProceedsFromIPO_lbl1" xml:lang="en-US">Proceeds From Gross Proceeds From IPO</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ProceedsFromGrossProceedsFromIPO" xlink:to="fact_ProceedsFromGrossProceedsFromIPO_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl0" xml:lang="en-US">Proceeds from Issuance Initial Public Offering</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromIssuanceInitialPublicOffering" xlink:to="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl0"/>
    <loc xlink:type="locator" xlink:label="us-gaap_StatementOfCashFlowsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xml:lang="en-US">Statement of Cash Flows [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_StatementOfCashFlowsAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueNetAssetLiability_lbl1" xml:lang="en-US">Fair Value, Net Asset (Liability)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueNetAssetLiability" xlink:to="us-gaap_FairValueNetAssetLiability_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfUnrealizedHoldingLossesAndFairValueOfHeldToMaturitySecuritiesAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfUnrealizedHoldingLossesAndFairValueOfHeldToMaturitySecuritiesAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfUnrealizedHoldingLossesAndFairValueOfHeldToMaturitySecuritiesAbstract_lbl" xml:lang="en-US">Schedule Of Unrealized Holding Losses And Fair Value Of Held To Maturity Securities Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ScheduleOfUnrealizedHoldingLossesAndFairValueOfHeldToMaturitySecuritiesAbstract" xlink:to="fact_ScheduleOfUnrealizedHoldingLossesAndFairValueOfHeldToMaturitySecuritiesAbstract_lbl"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl0" xml:lang="en-US">Stock Issued During Period, Value, Conversion of Units</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:to="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased_lbl0" xml:lang="en-US">Stock Repurchase Program, Remaining Number of Shares Authorized to be Repurchased</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased" xlink:to="us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_DescriptionAbstract0_lbl0" xml:lang="en-US">Description Abstract0</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_DescriptionAbstract0" xlink:to="fact_DescriptionAbstract0_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl0" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:to="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantLiabilitiesPublicWarrants_lbl1" xml:lang="en-US">Warrant Liabilities Public Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPublicWarrants" xlink:to="fact_WarrantLiabilitiesPublicWarrants_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SharePrice_lbl2" xml:lang="en-US">Share Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SharePrice" xlink:to="us-gaap_SharePrice_lbl2"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_SharesSubjectToPossibleRedemption_lbl1" xml:lang="en-US">Shares Subject To Possible Redemption</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_SharesSubjectToPossibleRedemption" xlink:to="fact_SharesSubjectToPossibleRedemption_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ConvertibleNotesTwo_lbl1" xml:lang="en-US">Convertible Notes Two</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_ConvertibleNotesTwo" xlink:to="fact_ConvertibleNotesTwo_lbl1"/>
    <loc xlink:type="locator" xlink:label="fact_ScheduleOfBasicAndDilutedNetLossIncomePerShareForEachClassOfOrdinaryShareAbstract" xlink:href="fact-20230630.xsd#fact_ScheduleOfBasicAndDilutedNetLossIncomePerShareForEachClassOfOrdinaryShareAbstract"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_ScheduleOfBasicAndDilutedNetLossIncomePerShareForEachClassOfOrdinaryShareAbstract_lbl" xml:lang="en-US">Schedule Of Basic And Diluted Net Loss Income Per Share For Each Class Of Ordinary Share Abstract</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_AssetsAbstract0_lbl0" xml:lang="en-US">Assets Abstract0</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_AssetsAbstract0" xlink:to="fact_AssetsAbstract0_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_lbl0" xml:lang="en-US">Accounts Payable and Accrued Liabilities, Current</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent" xlink:to="us-gaap_AccountsPayableAndAccruedLiabilitiesCurrent_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SupplementalDeferredPurchasePrice_lbl0" xml:lang="en-US">Supplemental Deferred Purchase Price</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalDeferredPurchasePrice" xlink:to="us-gaap_SupplementalDeferredPurchasePrice_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_AssetsCurrentAbstract_lbl0" xml:lang="en-US">Assets, Current [Abstract]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetsCurrentAbstract" xlink:to="us-gaap_AssetsCurrentAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl1" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Period Increase (Decrease)</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease" xlink:to="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPeriodIncreaseDecrease_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_OperatingCostsAndExpenses_lbl0" xml:lang="en-US">Operating Costs and Expenses</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingCostsAndExpenses" xlink:to="us-gaap_OperatingCostsAndExpenses_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl0" xml:lang="en-US">Earnings Per Share, Policy [Policy Text Block]</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerSharePolicyTextBlock" xlink:to="us-gaap_EarningsPerSharePolicyTextBlock_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl0" xml:lang="en-US">Sale of Stock, Consideration Received Per Transaction</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SaleOfStockConsiderationReceivedPerTransaction" xlink:to="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_InitialPublicOfferingPerShare_lbl1" xml:lang="en-US">Initial Public Offering Per Share</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_InitialPublicOfferingPerShare" xlink:to="fact_InitialPublicOfferingPerShare_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_PlusAbstract_lbl0" xml:lang="en-US">Plus Abstract</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_PlusAbstract" xlink:to="fact_PlusAbstract_lbl0"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_TrustProceeds_lbl1" xml:lang="en-US">Trust Proceeds</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_TrustProceeds" xlink:to="fact_TrustProceeds_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_WarrantLiabilitiesPrivateWarrants_lbl1" xml:lang="en-US">Warrant Liabilities Private Warrants</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_WarrantLiabilitiesPrivateWarrants" xlink:to="fact_WarrantLiabilitiesPrivateWarrants_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="dei_EntityExTransitionPeriod_lbl0" xml:lang="en-US">Entity Ex Transition Period</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="fact_EmergingGrowthCompanyStatusPolicyTextBlock_lbl1" xml:lang="en-US">Emerging Growth Company Status Policy Text Block</label>
    <labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="fact_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:to="fact_EmergingGrowthCompanyStatusPolicyTextBlock_lbl1"/>
    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="us-gaap_ScheduleOfChangesInFairValueOfPlanAssetsTableTextBlock_lbl0" xml:lang="en-US">Schedule of Changes in Fair Value of Plan Assets [Table Text Block]</label>
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