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<!--Created on: 5/14/2026 9:24:06 PM-->
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  <xsd:element name="UnderwritingDiscountAmount" id="fgii_UnderwritingDiscountAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="UnderwritingFeesPercent" id="fgii_UnderwritingFeesPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnderwritersExpenseReimbursementAmount" id="fgii_UnderwritersExpenseReimbursementAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AdvisoryTransitionFeePercent" id="fgii_AdvisoryTransitionFeePercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AdvisoryTransitionFeeAmount" id="fgii_AdvisoryTransitionFeeAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ProposedOfferingAbstract" id="fgii_ProposedOfferingAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ProposedOfferingTextBlock" id="fgii_ProposedOfferingTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MinimumAggregateFairMarketValueAsPercentageOfNetAssetsHeldInTrustAccount" id="fgii_MinimumAggregateFairMarketValueAsPercentageOfNetAssetsHeldInTrustAccount" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdPercentageOfOutstandingVotingSecuritiesOfTargetToBeAcquiredByPostTransactionCompanyToCompleteBusinessCombination" id="fgii_ThresholdPercentageOfOutstandingVotingSecuritiesOfTargetToBeAcquiredByPostTransactionCompanyToCompleteBusinessCombination" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdPeriodToCompleteBusinessCombination" id="fgii_ThresholdPeriodToCompleteBusinessCombination" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdPeriodToRedeemPublicSharesBusinessCombinationIncomplete" id="fgii_ThresholdPeriodToRedeemPublicSharesBusinessCombinationIncomplete" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnitsMember" id="fgii_UnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EmergingGrowthCompanyPolicyPolicyTextBlock" id="fgii_EmergingGrowthCompanyPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DeferredOfferingCostsPolicyPolicyTextBlock" id="fgii_DeferredOfferingCostsPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="FounderShareMember" id="fgii_FounderShareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockClassSharesSubjectToPossibleRedemptionMember" id="fgii_CommonStockClassSharesSubjectToPossibleRedemptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CommonStockClassSharesNotSubjectToPossibleRedemptionMember" id="fgii_CommonStockClassSharesNotSubjectToPossibleRedemptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="UnitsIssuedDuringPeriodValueNewIssues" id="fgii_UnitsIssuedDuringPeriodValueNewIssues" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ReclassificationsOfPermanentToTemporaryEquity" id="fgii_ReclassificationsOfPermanentToTemporaryEquity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="UnderwriterUnitsIssuedDuringPeriodValuesNewIssues" id="fgii_UnderwriterUnitsIssuedDuringPeriodValuesNewIssues" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="UnderwriterUnitsIssuedDuringPeriodSharesNewIssues" id="fgii_UnderwriterUnitsIssuedDuringPeriodSharesNewIssues" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="NumberOfWarrantsIssued" id="fgii_NumberOfWarrantsIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PaymentsToAcquireInvestmentsInTrustAccount" id="fgii_PaymentsToAcquireInvestmentsInTrustAccount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ProceedsFromIssuanceOfSharesToUnderwriter" id="fgii_ProceedsFromIssuanceOfSharesToUnderwriter" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NonCashOfferingCost" id="fgii_NonCashOfferingCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PrivateWarrantsMember" id="fgii_PrivateWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfSharesIssuedPerUnit" id="fgii_NumberOfSharesIssuedPerUnit" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="NumberOfRedeemableWarrantIssuedPerUnit" id="fgii_NumberOfRedeemableWarrantIssuedPerUnit" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsExercisableTermFromCompletionOfBusinessCombination" id="fgii_WarrantsExercisableTermFromCompletionOfBusinessCombination" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsExercisableTermFromClosingOfInitialPublicOffering" id="fgii_WarrantsExercisableTermFromClosingOfInitialPublicOffering" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MaximumNumberOfUnitsToBePurchaseOnOptionSharesAdditionalIssues" id="fgii_MaximumNumberOfUnitsToBePurchaseOnOptionSharesAdditionalIssues" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnderwritingDiscountPaid" id="fgii_UnderwritingDiscountPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MaximumRedemptionRestrictionPercentageWithoutPriorWrittenNotice" id="fgii_MaximumRedemptionRestrictionPercentageWithoutPriorWrittenNotice" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="RedemptionOfOutstandingSharesPercent" id="fgii_RedemptionOfOutstandingSharesPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MaximumDissolutionExpenses" id="fgii_MaximumDissolutionExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MinimumTrustAccountValuePerShare" id="fgii_MinimumTrustAccountValuePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SharesSubjectToPossibleRedemptionPolicyPolicyTextBlock" id="fgii_SharesSubjectToPossibleRedemptionPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantInstrumentsPolicyPolicyTextBlock" id="fgii_WarrantInstrumentsPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="OfferingCosts" id="fgii_OfferingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="CommonStockSharesOutstandingBasic" id="fgii_CommonStockSharesOutstandingBasic" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PercentageOfCommonStockBasic" id="fgii_PercentageOfCommonStockBasic" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="IncomeAllocatedByClassBasic" id="fgii_IncomeAllocatedByClassBasic" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AccretionAllocatedBasedOnOwnershipPercentageBasic" id="fgii_AccretionAllocatedBasedOnOwnershipPercentageBasic" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AccretionApplicableToRedeemableClassBasic" id="fgii_AccretionApplicableToRedeemableClassBasic" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CommonStockSharesOutstandingDiluted" id="fgii_CommonStockSharesOutstandingDiluted" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PercentageOfCommonStockDiluted" id="fgii_PercentageOfCommonStockDiluted" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="IncomeAllocatedByClassDiluted" id="fgii_IncomeAllocatedByClassDiluted" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AccretionAllocatedBasedOnOwnershipPercentageDiluted" id="fgii_AccretionAllocatedBasedOnOwnershipPercentageDiluted" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AccretionApplicableToRedeemableClassDiluted" id="fgii_AccretionApplicableToRedeemableClassDiluted" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="UnderwriterFeePaid" id="fgii_UnderwriterFeePaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="InflationReductionActOf2022PolicyPolicyTextBlock" id="fgii_InflationReductionActOf2022PolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnitsIssuedDuringPeriodSharesIssued" id="fgii_UnitsIssuedDuringPeriodSharesIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
</xsd:schema>
