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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Fair value of warrants (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Change in fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Changes in the Convertible Notes and Drawdown Loan Facilities Measured Using Significant Unobservable Inputs [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Measurement Inputs [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Option, Changes in Fair Value, Gain (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Loss on extinguishment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on extinguishment of debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loss on extinguishment of debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Loss on extinguishment of debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Extinguishment of Debt, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Repayment of convertible notes and loans</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Convertible Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertibleNotesPayablesScheduleofConvertibleNotesPayablesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payables - Schedule of Convertible Notes Payables (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JanuaryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JuneTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 2024 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JuneTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">June Two Thousand Twenty Four Notes Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfConvertibleNotesPayablesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Convertible Notes Payables Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SeniorConvertibleNotesAndDrawdownLoanFacilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Convertible Notes and drawdown loan facilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SeniorConvertibleNotesAndDrawdownLoanFacilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Convertible Notes and drawdown loan facilities [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes Payables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Convertible Notes, ending balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Convertible Notes, beginning balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationAccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accretion expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationAccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accretion of asset retirement obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationAccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation, Accretion Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfGrossProduction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of gross production</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfGrossProduction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Gross Production</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfGrossProduction_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of Gross Production.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of product of net smelter returns of cumulative ounces of gold (in Ounces)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale Of Product Of Net Smelter Returns Of Cumulative Ounces Of Gold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of product of net smelter returns of cumulative ounces of gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DescriptionOfRoyaltyPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Description of royalty payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DescriptionOfRoyaltyPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description Of Royalty Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DescriptionOfRoyaltyPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Description of royalty payment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BGL [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">BGLMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCompensationArrangementWithIndividualPostretirementBenefitsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialGuaranteeInsuranceContractsClaimLiabilityWeightedAverageRiskFreeDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free discount rate percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialGuaranteeInsuranceContractsClaimLiabilityWeightedAverageRiskFreeDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Discount rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialGuaranteeInsuranceContractsClaimLiabilityWeightedAverageRiskFreeDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Guarantee Insurance Contract, Claim Liability, Weighted-Average Risk-Free Discount Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationMarketRiskPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market risk premium rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationMarketRiskPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation Market Risk Premium</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationMarketRiskPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The percentage of asset retirement obligation, market risk premium.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationLiabilitiesIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Additional layer of ARO totaling (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationLiabilitiesIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liability assumed</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationLiabilitiesIncurred_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation, Liabilities Incurred</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Convertible Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationAssetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Agreement and Contingent Consideration [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueGoldBogosoPresteaLtdMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Blue Gold Bogoso Prestea Ltd [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueGoldBogosoPresteaLtdMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Blue Gold Bogoso Prestea Ltd Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GSRRoyaltyAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GSR Royalty Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GSRRoyaltyAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">GSRRoyalty Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CryptoAssetNumberOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rate of the lesser (in Ounce)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CryptoAssetNumberOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Crypto Asset, Number of Units</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRoyaltyPaymentForSaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of royalty payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRoyaltyPaymentForSaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Royalty Payment For Sale Of Product Of Net Smelter Returns Of Cumulative Ounces Of Gold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRoyaltyPaymentForSaleOfProductOfNetSmelterReturnsOfCumulativeOuncesOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of royalty payment for sale of product of net smelter returns of cumulative ounces of gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NetSmelterReturnRoyaltyTerminatesWhenTheAggregatePaymentsExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net smelter return royalty terminates when the aggregate payments exceed (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NetSmelterReturnRoyaltyTerminatesWhenTheAggregatePaymentsExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Smelter Return Royalty Terminates When The Aggregate Payments Exceed</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NetSmelterReturnRoyaltyTerminatesWhenTheAggregatePaymentsExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of net smelter return royalty terminates when the aggregate payments exceed.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGLsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BGL&#8217;s [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGLsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">BGLs Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity-Linked Share Issuance Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationRemainingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationRemainingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation Remaining Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationRemainingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Period between remaining term.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationInflationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inflation rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationInflationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation Inflation Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetRetirementObligationInflationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of asset retirement obligation, inflation rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accretion expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Asset retirement obligation (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Asset retirement obligations, beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Asset retirement obligations, end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset retirement obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdditionalLayersOfAssetRetirementObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional layers of asset retirement obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdditionalLayersOfAssetRetirementObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Layers of Asset Retirement Obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdditionalLayersOfAssetRetirementObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of additional layers of asset retirement obligation.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RoyaltyAgreementandContingentConsiderationDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Agreement and Contingent Consideration (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BondSPVRoyaltyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bond SPV Royalty [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BondSPVRoyaltyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Bond SPVRoyalty Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionContingentConsiderationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Agreement and Contingent Consideration [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Convertible Notes Payables [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes Payables [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharePurchaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Liability recognized at issuance (August 29, 2025)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharePurchaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ordinary Share Purchase Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharePurchaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of ordinary share purchase receivable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueMeasurementScheduleoftheFollowingTablePresentsChangesintheEquityLinkedShareIssuanceLiabilityMeasuredUsingLevel3InputsDetailsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of the Following Table Presents Changes in the Equity-Linked Share Issuance Liability Measured Using Level 3 Inputs [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EquitylinkedShareIssuanceLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EquitylinkedShareIssuanceLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EquitylinkedShareIssuanceLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity-linked share issuance liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EquitylinkedShareIssuanceLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equitylinked Share Issuance Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EquitylinkedShareIssuanceLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of equity-linked share issuance liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combination [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrices_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Average gold price (in Ounces)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term gold prices (in Ounces)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Longterm Gold Prices</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrices_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">long-term gold prices</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OreProcessedMeasurement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ore Processed Measurement (in Millions of US Tons)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OreProcessedMeasurement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ore Processed Measurement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OreProcessedMeasurement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ore processed measurement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationRevisionOfEstimate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional layer</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationRevisionOfEstimate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation, Revision of Estimate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Changes in the Fair Value of Warrant Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombined_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liability assumed in business combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombined_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities Combined</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombined_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of warrant liabilities combined.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair value of the warrants liabilities (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfTheFollowingTablePresentsChangesInTheEquityLinkedShareIssuanceLiabilityMeasuredUsingLevel3InputsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of The Following Table Presents Changes In The Equity Linked Share Issuance Liability Measured Using Level3 Inputs [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued for services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/disclosureGuidance">Issuance of ordinary shares for services (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Issued for Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">General and administrative expenses (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total general and administrative expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Investor relations expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expenses [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TuminMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tumin [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TuminMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tumin Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ThinkKatalystLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Think Katalyst LLC [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ThinkKatalystLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Think Katalyst LLCMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SecuredOvernightFinancingRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured Overnight Financing Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SecuredOvernightFinancingRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Overnight Financing Rate Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Facility [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Facility Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRightToPurchaseGold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of purchase</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRightToPurchaseGold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Right To Purchase Gold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRightToPurchaseGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of rght to purchase gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AggregateOfAdvancePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate advance payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AggregateOfAdvancePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Of Advance Payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AggregateOfAdvancePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of aggregate of advance payments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Fair Value Disclosure</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Ordinary shares, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerOunceOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Per ounce of gold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerOunceOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Per ounce of gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerTonOfCopper_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Per ton of copper</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerTonOfCopper_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Per ton of copper.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfOptionExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of option exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfOptionExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of option exercised.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of warrant exercised.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FeeIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FeeIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fee Income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TwoRitchieFacilityAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Ritchie Facility Agreements [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase of Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of shares purchased.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownsAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Drawdowns</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownsAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Drawdowns agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownsAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Drawdowns agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of exercise warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountingAndAuditCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounting and audit costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountingAndAuditCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AccountingAndAuditCosts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountingAndAuditCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounting And Audit Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfTotalMaterialProducedToSell_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of total material produced sold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfTotalMaterialProducedToSell_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Total Material Produced To Sell</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfTotalMaterialProducedToSell_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of total material produced to sell.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancePaymentsToBeConvertedIntoShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advance payments could be converted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancePaymentsToBeConvertedIntoShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advance Payments To Be Converted Into Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancePaymentsToBeConvertedIntoShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the amount of advance payments to be converted into shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SecuritiesPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SecuritiesPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Purchase Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LoanAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LoanAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfPurchasePricePlusMarkUpPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of purchase price plus mark up price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfPurchasePricePlusMarkUpPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Purchase Price Plus Mark Up Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfPurchasePricePlusMarkUpPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of purchase price plus mark up price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consideration shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Consideration Transferred, Equity Interest, Share Issued, Number of Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VWAP purchase value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VWAPPurchase Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of volume weighted average purchase.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AvailabilityOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Availability of gold (in Troy Ounces)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AvailabilityOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Availability Of Gold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AvailabilityOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Availability of gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfProfitMarginReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of profit margin received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfProfitMarginReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Profit Margin Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfProfitMarginReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of profit margin received.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashCollateral_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash collateral</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashCollateral_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Collateral</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashCollateral_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash collateral.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TradingFacilityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Facility Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TradingFacilityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Facility Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueGoldHoldingsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Blue Gold Holdings [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueGoldHoldingsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Blue Gold Holdings Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ordinary Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Class A Ordinary Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Member of Board [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Director [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TheJuneAndJuly2025NotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">The June and July 2025 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TheJuneAndJuly2025NotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The June And July2025 Notes Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares, par value (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Par value (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Ordinary share, par value (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Ordinary shares, shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares, shares outstanding (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of shares converted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares converted (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Converted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteSubscriptionsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription receivable (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteSubscriptionsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Subscription receivables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteSubscriptionsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Note, Subscriptions Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Number of warrants issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of warrants (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of warrants issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants to purchase shares (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding amount settled (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred shares, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Shares, share authorized (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred shares, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Shares, share issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Ordinary shares, shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares, shares authorized (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CommitmentsandContingenciesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CommitmentSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitment Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CommitmentSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Shares Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-based compensation (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock based compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueCayman2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Blue Cayman 2 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueCayman2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Blue Cayman2 Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MrSalgarMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mr. Salgar [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MrSalgarMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mr Salgar Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedDividendRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend yield [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedDividendRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Expected Dividend Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Free Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Measurement Input, Risk Free Interest Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Rsk-free inierest Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Risk Free Interest Rate [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MeasurementInputCostOfDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of debt [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MeasurementInputCostOfDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Cost Of Debt Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend yield</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Dividend Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Risk Free Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk free rate of return</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfBreakOutOfThisNetBalanceDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Break Out Of This Net Balance Due Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfCostOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfCostOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Cost Of Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfCostOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cost of debt.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Related Party [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due from related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Due From Related Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Due from related party.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GeneralandAdministrativeExpensesScheduleofGeneralandAdministrativeExpensesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expenses - Schedule of General and Administrative Expenses (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfessionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Audit and accounting</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfessionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Professional Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseDirectorsFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Director fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseDirectorsFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Director Fee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralInsuranceExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Insurance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralInsuranceExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General Insurance Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TravelAndEntertainmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Travel and subsistence</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TravelAndEntertainmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Travel and Entertainment Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OtherProfessionalServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other professional services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OtherProfessionalServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Professional Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OtherProfessionalServices_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of other professional services.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rent and lease</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfFairValueContingentConsiderationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Fair Value Contingent Consideration Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputPriceVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Volatility [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputPriceVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Price Volatility [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected life [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Measurement Input, Expected Term [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Expected Term [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Expected Term [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value Contingent Consideration [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Volatility</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsWeightedAverageVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Weighted Average Volatility Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Expected life</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term to maturity (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Break-Out of this Net Balance Due [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transactions [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Due to related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Due To Related Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Due to related party.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfGeneralAndAdministrativeExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of General And Administrative Expenses Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfGeneralAndAdministrativeExpensesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of General and Administrative Expenses [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consulting fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consulting Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of consulting fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FilingAndListingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Filing and listing fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FilingAndListingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Filing And Listing Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FilingAndListingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of filing and listing fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other General and Administrative Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LaborAndRelatedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payroll</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LaborAndRelatedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Labor and Related Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Shares, share outstanding (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred shares, shares outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuanceOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Day one loss on accounting of convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuanceOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Day One Loss On Issuance Of Convertible Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuanceOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of day one loss on issuance of convertible notes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfMineralRightsInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquisition of mineral rights in exchange for certain obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfMineralRightsInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Acquisition Of Mineral Rights In Exchange For Certain Obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfMineralRightsInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of acquisition of mineral rights in exchange for certain obligations.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfRoyaltyPayableInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assumption of royalty payable in exchange for mineral rights and property, plant and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfRoyaltyPayableInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assumption Of Royalty Payable In Exchange For Mineral Rights And Property Plant And Equipment Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfRoyaltyPayableInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Assumption of royalty payable in exchange for mineral rights and property, plant and equipment, net.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Income before provision for income taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfEffectiveIncomeTaxRateAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Effective Income Tax Rate Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_GB_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">UK [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_GB_lbl" xlink:role="http://www.xbrl.org/2003/role/label">UNITED KINGDOM</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Effective Income Tax Rate [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationLegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationLegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Legal Fees</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationLegalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to legal fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effects of Cross-border tax laws</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nontaxable or Nondeductible items</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in Unrecognized Tax Benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Changes In Unrecognized Tax Benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in unrecognized tax benefits.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Tax Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income tax expense or benefit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">US Federal Statutory Tax rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Miscellaneous permanent items, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation Miscellaneous Permanent Items</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to miscellaneous permanent items.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction expenses, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation Transaction Expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to transaction expenses.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign rate differential, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxAssetsAndLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Deferred Tax Assets and Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from depreciation.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net operating losses &#8211; non-current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Valuation Allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidFederalAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Federal</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidFederalAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Paid, Federal, after Refund Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionPrice1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Conversion price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionPrice1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion rate (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionPrice1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Conversion Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments from company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Purchase of shares (Amount)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Businesses, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Issued, Principal</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Interest accrued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bear interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Stated Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares settled (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of ordinary shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">New issued ordinary shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Shares issued, value (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SOFR rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Commitment Fee Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Gross proceeds</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds private placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Private Placement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of share granted, gross (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options granted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Domestic (NOL) carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards, Domestic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax assets valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net of Valuation Allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AugustSPAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">August SPA [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AugustSPAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">August SPAMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TwoThousandTwentyFiveEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 Equity Incentive Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TwoThousandTwentyFiveEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Five Equity Incentive Plan Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JanuaryWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JanuaryWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Warrant Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioUnspecifiedDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumMonthendOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum draw down amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumMonthendOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Maximum Month-end Outstanding Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate collateral amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Collateral Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionConvertedInstrumentWarrantsOrOptionsIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of warrants (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionConvertedInstrumentWarrantsOrOptionsIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Conversion, Converted Instrument, Warrants or Options Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketTradingThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal market trading thereafter</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketTradingThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Market Trading Thereafter</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketTradingThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of principal market trading thereafter.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AwardTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AugustNoteSPAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">August Note SPA [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AugustNoteSPAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">August Note SPAMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes Paid, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquisitionRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Merger and acquisition expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquisitionRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Acquisition-Related Cost, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Adjustment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average common shares outstanding - basic (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per ordinary share - basic (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Comprehensive Income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AOCI Attributable to Parent [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Other Income (expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossTaxAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income (loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossTaxAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Tax [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total comprehensive loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Attributable to Parent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class A</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A Ordinary Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class A Ordinary Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Class A common stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance">Class A Ordinary Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total stockholders&#8217; deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Ordinary share purchase receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of convertible notes (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Conversion of Units</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of shares in business combination (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Acquisitions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of preference shares (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Conversion of Convertible Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdjustmentsToAdditionalPaidInCapitalDubsidiaryToARelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of shares held by subsidiary to a related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdjustmentsToAdditionalPaidInCapitalDubsidiaryToARelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments To Additional Paid In Capital Dubsidiary To ARelated Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdjustmentsToAdditionalPaidInCapitalDubsidiaryToARelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of shares held by subsidiary to a related party.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokenLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Token liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokenLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of token liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CryptoAssetFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Digital assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CryptoAssetFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Crypto Asset, Fair Value, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of ordinary shares for services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueIssuedForServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Issued for Services</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of equity treated warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Warrant Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionValueOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionValueOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Value of Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionValueOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion value of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionSharesOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of warrants (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionSharesOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Shares of Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionSharesOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion shares of warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionOfConvertibleNotesAndLoansIntoOrdinarySharesIncludingAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of convertible notes and loans into ordinary shares, including accrued interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionOfConvertibleNotesAndLoansIntoOrdinarySharesIncludingAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of convertible notes and loans into ordinary shares, including accrued interest.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MaterialUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Material uncertain tax positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MaterialUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Material Uncertain Tax Positions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MaterialUncertainTaxPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Material uncertain tax positions.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsecutiveBusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consecutive business days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsecutiveBusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consecutive Business Days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsecutiveBusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Consecutive Business Days.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from Issuance of Class A ordinary shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpenseIncludingAssetRetirementObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accretion of asset retirement obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpenseIncludingAssetRetirementObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion Expense, Including Asset Retirement Obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Nonproduction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares outstanding percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ordinary Shares Outstanding Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesOutstandingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ordinary Shares Outstanding Percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Foreign</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Foreign</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_GH_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ghana [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_GH_lbl" xlink:role="http://www.xbrl.org/2003/role/label">GHANA</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ForeignTaxEffectsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign tax Effects</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ForeignTaxEffectsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Foreign Tax Effects Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesAgainstPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Votes against percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesAgainstPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Votes against percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesAgainstPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Votes against percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Miscellaneous permanent items</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Miscellaneous Permanent Items</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationMiscellaneousPermanentItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to miscellaneous permanent items.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Transaction Expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncomeTaxReconciliationTransactionExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to transaction expenses.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign rate differential</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax assets:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsAROAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ARO Accretion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsAROAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets AROAccretion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DeferredTaxAssetsAROAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from ARO accretion.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Income Taxes Paid (Net of Refunds Received) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidForeignAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidForeignAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Paid, Foreign, after Refund Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares vested</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested, Number of Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MrSamuelsonsAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mr. Samuelson&#8217;s Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MemorandumAndArticlesOfAssociationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Memorandum and Articles of Association [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CostOfAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CostOfAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CostOfAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amoun of cost of amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Description</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party interest Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), Operating</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average common shares outstanding - diluted (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per ordinary share - diluted (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid- In Capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SeniorConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Convertible Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SeniorConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Convertible Notes Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuancesOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Day one loss on accounting of convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuancesOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Day One Loss On Issuances Of Convertible Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DayOneLossOnIssuancesOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of day one loss on issuance of convertible notes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesFromStockholderMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription Receivable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesFromStockholderMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivables from Stockholder [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign currency translation adjustment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retroactive application of Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period, Adjustment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Tax Rate, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">US Federal Statutory Tax rate, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Federal statutory income tax rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JanuaryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JanuaryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Note Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FirstAndSecondWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">First and Second Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FirstAndSecondWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">First And Second Warrants Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementScenarioAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forecast [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forecast [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityAverageOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan facility</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityAverageOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Average Outstanding Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible principal amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketValuePerTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal market per trading day</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketValuePerTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Market Value Per Trading Day</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalMarketValuePerTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of principal market per trading day.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfLowestVolumeWeightedAveragePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of vwap</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfLowestVolumeWeightedAveragePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Lowest Volume Weighted Average Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfLowestVolumeWeightedAveragePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The percentage of lowest volume weighted average price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PriceOfAdjustedCustomaryEquityEvents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjusted customary equity events (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PriceOfAdjustedCustomaryEquityEvents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Price Of Adjusted Customary Equity Events</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PriceOfAdjustedCustomaryEquityEvents_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The price per of adjusted customary equity events.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate principal amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maturity date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan matures</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Conversion Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BeneficiallyOwnedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Beneficially owned percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BeneficiallyOwnedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Beneficially Owned Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BeneficiallyOwnedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Beneficially owned percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Award Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnrestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrestricted Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnrestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrestricted Stock Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RECAPITALIZATION</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recapitalization Text Block</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RecapitalizationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure pertaining to the recapitalization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentCompanyEquitySecurityFvNiContractualSaleRestrictionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment In Equity Security [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASSET ACQUISITION</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash issuance of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionConvertedInstrumentAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible notes payable combined</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionConvertedInstrumentAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Conversion, Converted Instrument, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NATURE OF OPERATIONS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature of Operations [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity and Going Concern [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-based compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableTrade_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableTrade_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable, Trade</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Liabilities and Other Operating Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Investing Activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Financing Activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash, beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash, end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental cash flow information:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstantialDoubtAboutGoingConcernTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIQUIDITY AND GOING CONCERN</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstantialDoubtAboutGoingConcernTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Substantial Doubt about Going Concern [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Noncash investing and financing activities:</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Related Party Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by financing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashOrPartNoncashAcquisitionPayablesAssumed1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable, accrued liabilities and other current liabilities combined</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashOrPartNoncashAcquisitionPayablesAssumed1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash or Part Noncash Acquisition, Payables Assumed</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombinedAssumedInBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant liabilities combined</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombinedAssumedInBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities Combined Assumed In Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesCombinedAssumedInBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of warrant liabilities combined assumed in business combination.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature of Operations [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtFairValueDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtFairValueDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt, Fair Value Disclosures</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayments of notes payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Notes Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIncreaseAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unpaid interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIncreaseAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIncreaseAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Increase, Accrued Interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FloorPriceOfConversionNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Floor price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FloorPriceOfConversionNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Floor Price Of Conversion Notice</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FloorPriceOfConversionNotice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The conversion notice of floor price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Tangible Asset [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principles of Consolidation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration of Risk</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Credit Risk, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property, Plant and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recent Accounting Pronouncements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Separately Recognized Transaction [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class B common stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Class B [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A ordinary shares immediately after the Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ordinary Shares Immediately After The Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesImmediatelyAfterTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of class A ordinary shares immediately after the business combination.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassACommonStockConsummationOfBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A common stock of PC4</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassACommonStockConsummationOfBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class ACommon Stock Consummation Of Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassACommonStockConsummationOfBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Consummation of shares business combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfBc2SharesWasDeterminedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Bc2 Shares Was Determined Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BC2 Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets acquired (1)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Asset [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PC4 common stock, outstanding prior to the Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Common Stock Outstanding Prior To The Business Combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ClassCommonStockOutstandingPriorToTheBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shares of common stock outstanding prior to the business combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationPreferenceSharesConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of shares related to preference shares conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationPreferenceSharesConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Preference Shares Conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationPreferenceSharesConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shares of business combination preference shares conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GSR royalty liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Liability Assumed, Other Liability, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows used in operations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in operating activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WorkingCapitalDeficitNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Working capital deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WorkingCapitalDeficitNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Working Capital Deficit Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WorkingCapitalDeficitNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Working capital deficit, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiquidityandGoingConcernDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liquidity and Going Concern (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownLoanFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Drawdown loan facility, amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownLoanFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Drawdown Loan Facility Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DrawdownLoanFacilityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of drawdown loan facility.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A ordinary shares issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Number of Shares Issued in Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SummaryofSignificantAccountingPoliciesDetailsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CryptoAssetDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Crypto Asset [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiabilitiesAssumedAndAssetsAcquiredPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities assumed and assets acquired percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiabilitiesAssumedAndAssetsAcquiredPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities Assumed And Assets Acquired Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiabilitiesAssumedAndAssetsAcquiredPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Liabilities assumed and assets acquired percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gold production over the life (in Grams)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Longterm Gold Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongtermGoldPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term gold price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CreditAdjustedDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit adjusted discount rate percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CreditAdjustedDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Adjusted Discount Rate Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CreditAdjustedDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Credit adjusted discount rate percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralRights_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying value of the mineral rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mineral rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ProcureGoodsAndEquipmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Procure certain goods and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ProcureGoodsAndEquipmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Procure Goods And Equipment Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ProcureGoodsAndEquipmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of procure certain goods and equipment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollectionOfAdvanceToAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advance from attachy</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollectionOfAdvanceToAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Collection of Advance to Affiliate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption premium percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Redemption Price, Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateBasisForEffectiveRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carries an interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateBasisForEffectiveRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Basis for Effective Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRepaidPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repaid amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRepaidPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Repaid, Principal</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfInvestmentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment In Equity Security [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtWeightedAverageInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion price percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtWeightedAverageInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt, Weighted Average Interest Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unamortized debt issuance cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Unamortized Discount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Face Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateEffectivePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Original issue discount rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateEffectivePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Effective Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Accounting</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign Currency Translation and Transactions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Foreign Currency Transactions and Translations Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Information</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReverseRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Reverse recapitalization, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReverseRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reverse Recapitalization Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReverseRecapitalizationNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of reverse recapitalization, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfOrdinarySharesIssuedImmediatelyFollowingTheConsummationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Ordinary Shares Issued Immediately Following The Consummation Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAndBCommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BC2 Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAndBCommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Class And BCommon Stock Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAndBCommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Redemption of PC4 Class A common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redemption Of Class ACommon Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfClassACommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redemption of class of common shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RecapitalizationScheduleofBC2ShareswasDeterminedDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recapitalization - Schedule of BC2 Shares was Determined (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of BC2 Shares was Determined [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Ordinary Shares Issued Immediately Following the Consummation [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stockholders&#8217; Deficit [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BC2&#8217;s shares after conversion ratio</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of shares issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfFairValuesOfTheAssetsAcquiredAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Fair Values Of The Assets Acquired Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combination Class A ordinary shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Class AOrdinary Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationClassAOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of business combination class A ordinary shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationWorkingCapitalAgreementsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of shares related to working capital agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationWorkingCapitalAgreementsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Working Capital Agreements Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessCombinationWorkingCapitalAgreementsShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares related to working capital agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GSR contingent consideration liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdvancesToAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advances to Affiliate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdvancesToAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Receivable amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdvancesToAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advances to Affiliate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate a loan amount (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Loans</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SummaryofSignificantAccountingPoliciesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segment (in Segment)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Equivalents, at Carrying Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CryptoAssetAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Crypto Asset [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mineral Rights [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Acquired ownership percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Voting Equity Interest Acquired, Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount rate percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Discount Rate Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Discount rate percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement input</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Measurement Input</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralIndustriesDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralIndustriesDisclosuresLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralPropertiesAccumulatedDepletion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralPropertiesAccumulatedDepletion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Properties, Accumulated Depletion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Internally-developed software</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets, Net (Excluding Goodwill)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRepaymentPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of repayment, purchase price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRepaymentPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Repayment Purchase Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfRepaymentPurchasePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of repayment, purchase price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_AffiliateCollateralizedSecurityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advances Payable [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertibleNotesPayablesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payables (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertedSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Converted Shares [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertedSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Converted Shares Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BuildingAndLeaseholdLandMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Building and leasehold land [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BuildingAndLeaseholdLandMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Building And Leasehold Land Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible assets: mineral rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Finite-Lived</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiabilitiesAssumed1Abstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities assumed (1)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LiabilitiesAssumed1Abstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities Assumed1 Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ComputerAndAccessoriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computer and accessories [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ComputerAndAccessoriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Computer And Accessories Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Property, plant and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property, plant and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property, plant and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfMeasurementInputsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Measurement Inputs Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total proceeds (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance or Sale of Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssetAcquisitionDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGHLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">BGHL [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BGHLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">BGHLMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property, plant and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets acquired</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Asset</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PlantAndMachineryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plant and machinery [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PlantAndMachineryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plant And Machinery Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Property, Plant and Equipment [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: accumulated depreciation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertibleNotesPayablesScheduleofMeasurementInputsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payables - Schedule of Measurement Inputs (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MiningEquipmentSupplyFrameworkAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mining Equipment Supply Framework Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MiningEquipmentSupplyFrameworkAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mining Equipment Supply Framework Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CityFirstCapitalPtyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City First Capital Pty [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CityFirstCapitalPtyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City First Capital Pty Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Income (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maturity date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionOriginalDebtAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate purchase price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionOriginalDebtAmount1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Conversion, Original Debt, Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Break-Out of this Net Balance Due</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Related Party Transactions [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation estimated useful lives</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Useful Life</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfBusinessCombinationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Business Combination Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Business Combination [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VehiclesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vehicles [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VehiclesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vehicles [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingEstimateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Depreciation for Mobile Equipment and Other Assets is Computed Using the Straight-Line Method [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisValuationTechniquesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Assumptions Used to Value Convertible Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisValuationTechniquesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Nonrecurring Basis, Valuation Techniques [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCommonStockOutstandingRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of BC2 Shares was Determined</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCommonStockOutstandingRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Common Stock Outstanding Roll Forward [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetAcquisitionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Acquisition [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfChangeInAssetRetirementObligationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Asset Retirement Obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfChangeInAssetRetirementObligationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Change in Asset Retirement Obligation [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsNoteDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionOfNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionOfNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConversionOfNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of conversion of notes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DebtIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DebtIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of debt issuance costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JuneAndJulyTwoThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June and July 2025 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_JuneAndJulyTwoThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">June And July Two Thousand Twenty Five Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalSettledInOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal settled in ordinary shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalSettledInOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Settled in Ordinary Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PrincipalSettledInOrdinaryShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of principal settled in ordinary shares.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ScheduleOfChangeInFairValueUnobservableInputsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Change In Fair Value Unobservable Inputs Abstract</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes Payable [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Purchase ordinary share (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of ordinary shares (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Number of shares issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Company resold shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Information by business days.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TradingDaysPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading days period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TradingDaysPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Days Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TradingDaysPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Trading days period.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesPerWarrant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ordinary shares per warrant (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesPerWarrant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ordinary Shares Per Warrant</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OrdinarySharesPerWarrant_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ordinary shares per warrant.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueMeasurementDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueMeasurementScheduleoftheFollowingTablePresentsChangesintheEquityLinkedShareIssuanceLiabilityMeasuredUsingLevel3InputsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement - Schedule of the Following Table Presents Changes in the Equity-Linked Share Issuance Liability Measured Using Level 3 Inputs (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Asset Retirement Obligations [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsLevelOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrants Level One [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsLevelOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants Level One Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public warrants issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of warrant issued (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public warrants issued.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GoldProductionOverLifeOfMineMesaurement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gold production over life of mine mesaurement (in Ounces)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GoldProductionOverLifeOfMineMesaurement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gold Production Over Life Of Mine Mesaurement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GoldProductionOverLifeOfMineMesaurement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gold production over life of mine mesaurement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RoyaltyLiabilitiesDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty liabilities, discount rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RoyaltyLiabilitiesDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Liabilities Discount Rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RoyaltyLiabilitiesDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Royalty liabilities, discount rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants, measurement inputs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding, Measurement Input</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicShareholdersWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Shareholders Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PublicShareholdersWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Shareholders Warrants Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exercise price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfWarrantsPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption of warrants price per share (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfWarrantsPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redemption Of Warrants Price Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RedemptionOfWarrantsPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redemption of warrants when the price per share.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FinalFairMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Final fair market value (in Dollars)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FinalFairMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Final Fair Market Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FinalFairMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Final fair market value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentsLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentsLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustments Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FairValueAdjustmentsLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of fair value adjustment liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MonteCarloModelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Monte Carlo Pricing Model [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MonteCarloModelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Technique, Monte Carlo Pricing Model [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LicenseHoldingCompanyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">License-Holding Company [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LicenseHoldingCompanyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">License Holding Company Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FGRBogosoPresteaLimitedFGRBPLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">FGR Bogoso Prestea Limited (&#8220;FGRBPL&#8221;) [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BlueInternationalHoldingsLimitedBIHLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Blue International Holdings Limited (&#8220;BIHL&#8221;) [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MamponGoldAndCopperMiningLeaseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mampon Gold and Copper Mining Lease [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfCashPurchasePriceOfGold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of cash purchase price of gold.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongTermGoldValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount of material sold</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongTermGoldValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Gold Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_LongTermGoldValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term gold</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NumberOfBusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Business Days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NumberOfBusinessDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of business days.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SharePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Purchase Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SharePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Purchase Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfStakePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of stake price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfStakePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Stake Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfStakePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of stake price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseAgreementPaymentTranchesDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase agreement of payment tranches, description</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchaseAgreementPaymentTranchesDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchase agreement payment tranches, description.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VWAP exercise price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VWAPPurchase Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPPurchaseExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The volume weighted average purchase exercise price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollateralizedAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash collateral</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollateralizedAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateralized Agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerceptionCapitalCorpIVMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PC4 [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PerceptionCapitalCorpIVMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Perception Capital Corp IVMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableOtherCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable &#8211; related parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableOtherCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Other, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseNonoperating_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Deficit [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Business Combination [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combination, Series of Individually Immaterial Business Combinations [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesOfIndividuallyImmaterialBusinessAcquisitionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Series of Individually Immaterial Business Combinations [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FutureGlobalResourcesLimitedFGRMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Future Global Resources Limited (&#8220;FGR&#8221;) [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CityFirstLoanAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City First Loan Agreement [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_OtherRelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Related Party Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_BCMPServicesLimitedBCMPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">BCMP Services Limited (&#8220;BCMP&#8221;) [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable &#8211; related parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, after Allowance for Credit Loss, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InterestCalculatedMonthlyBasisOnOnePercentageOnFundsAdvancedAndReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest calculated monthly basis on one percentage on funds advanced and received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InterestCalculatedMonthlyBasisOnOnePercentageOnFundsAdvancedAndReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Calculated Monthly Basis On One Percentage On Funds Advanced And Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InterestCalculatedMonthlyBasisOnOnePercentageOnFundsAdvancedAndReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest calculated monthly basis on one percentage on funds advanced and received.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_StockholdersDeficitDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Deficit (Details) [Table]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SeniorConvertibleNotesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Convertible Notes Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_June2024NotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 2024 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_June2024NotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">June2024 Notes Member</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Shares, par value (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Exercise price of preference share (in Dollars per share)</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PaidAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Paid amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PaidAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Paid amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PurchasesAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchases agreement</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VWAPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VWAP [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FGRBPLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">FGR-BPL [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FGRBPLMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FGRBPLMember</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDecreaseForgiveness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding indebtedness</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies [Abstract]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_StatementOfFinancialPositionLocationBalancesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position Location Balances [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GeneralAndAdministrativeExpensesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expenses [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedProfessionalFeesCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued advisory service fee</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_KaelaRitchieMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Kaela Ritchie [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ValueAddedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Value added tax</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfAssetRetirementObligationInConnectionWithObtainingMineralRightsAndProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assumption of asset retirement obligation in connection with obtaining mineral rights and property, plant and equipment</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfAssetRetirementObligationInConnectionWithObtainingMineralRightsAndProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Assumption of asset retirement obligation in connection with obtaining mineral rights and property</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCostAndExpenseOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Start-up costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCostAndExpenseOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Cost and Expense, Operating</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfPropertyPlantAndEquipmentNetInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquisition of property, plant and equipment, net in exchange for certain obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfPropertyPlantAndEquipmentNetInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Acquisition Of Property Plant And Equipment Net In Exchange For Certain Obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AcquisitionOfPropertyPlantAndEquipmentNetInExchangeForCertainObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Acquisition of Property, plant and equipment, net in exchange for certain obligations.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfContingentConsiderationLiabilityInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assumption of contingent consideration liability in exchange for mineral rights and property, plant and equipment, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfContingentConsiderationLiabilityInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assumption Of Contingent Consideration Liability In Exchange For Mineral Rights And Property Plant And Equipment Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AssumptionOfContingentConsiderationLiabilityInExchangeForMineralRightsAndPropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of assumption of contingent consideration liability in exchange for mineral rights and property, plant and equipment, net.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioPreviouslyReportedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Perviously Reported</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioPreviouslyReportedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Previously Reported [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Conversion of Units</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Issuance of shares in business combination</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Acquisitions</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of preference shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Conversion of Convertible Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeForeignCurrencyTranslationAdjustmentTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Currency translation adjustment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeForeignCurrencyTranslationAdjustmentTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Tax, Portion Attributable to Parent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">First Tranche [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche One [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other receivables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Receivables, Net, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumRequirementAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum requirement amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumRequirementAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Requirement Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumRequirementAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Minimum Requirement Amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumBidPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum bid price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumBidPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Bid Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MinimumBidPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Minimum Bid Price.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MarketValueOfListedSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market Value of Listed Securities [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MarketValueOfListedSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Market Value of Listed Securities [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MarketValueOfListedSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market Value of listed securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MarketValueOfListedSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Market Value of Listed Securities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MarketValueOfListedSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Market Value of Listed Securities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesHeldInEmployeeTrustShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Publicly held shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesHeldInEmployeeTrustShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Held in Employee Trust, Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CalendarDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Calendar days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CalendarDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Calendar Days</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CalendarDays_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">calendar days.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable owed by BGBPL to FGR</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Perpetual Convertible Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountsPayableInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountsPayableInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AccountsPayableInShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounts Payable (in Shares).</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preference shares converted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockSharesIssuedUponConversion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock, Shares Issued upon Conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-voting common stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Voting Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_NonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The duration of the non voting common stock.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IndebtednessExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Indebtedness exceeding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IndebtednessExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Indebtedness exceeding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IndebtednessExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of indebtedness exceeding.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnsatisfiedJudgmentsExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unsatisfied judgments exceeding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnsatisfiedJudgmentsExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unsatisfied judgments exceeding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnsatisfiedJudgmentsExceeding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unsatisfied judgments exceeding.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnderlyingEachWarrantPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underlying each warrant percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnderlyingEachWarrantPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Underlying each warrant percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnderlyingEachWarrantPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Underlying each warrant percentage.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SubscriptionDividedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription divided price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SubscriptionDividedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subscription divided price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SubscriptionDividedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Subscription divided price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash consideration.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingPaymentsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consulting payments amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingPaymentsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consulting payments amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConsultingPaymentsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Consulting payments amount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockSharesIssuedNetOfSharesForTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockSharesIssuedNetOfSharesForTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock, Shares Issued Net of Shares for Tax Withholdings</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest and penalties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FacilityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Facility Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_FacilityAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Facility Agreement Member</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestmentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Domestic and Foreign Components of Income Before Provision for Income Taxes [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SubsequentEventsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SubsequentEventsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events (Details) [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityExTransitionPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Ex Transition Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investor [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investor [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Second Tranche [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche Two [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCommitmentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and contingencies [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest rate par annum</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed interest rate</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate During Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralPropertiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralPropertiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Properties, Net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentPeriodicPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repaid amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentPeriodicPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Periodic Payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured funding facility</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireMineralRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gold trading facility agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireMineralRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Mineral Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of share granted, net (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Net of Forfeitures</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReductionInCashCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in cash compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReductionInCashCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reduction In Cash Compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ReductionInCashCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of cash compensation reduction.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsForeign_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign NOL carryforwards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsForeign_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards, Foreign</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ChangeValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ChangeValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change Valuation Allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ChangeValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change valuation allowance.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in valuation allowance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationLegalFeesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal Fees, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationLegalFeesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation Legal Fees Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationLegalFeesPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to legal fees.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effects of Cross-border tax laws, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationCrossBorderTaxEffectPercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Cross-Border Tax Effect, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nontaxable or Nondeductible items, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Percent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in Unrecognized Tax Benefits, percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation Changes In Unrecognized Tax Benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_EffectiveIncomeTaxRateReconciliationChangesInUnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in unrecognized tax benefits.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MonthlyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Monthly payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MonthlyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Monthly payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MonthlyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Monthly payments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AnnualPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Annual payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AnnualPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Annual payment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvanceToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advance to related parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvanceToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advance To Related Parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvanceToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of advance to related parties.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advances payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advances Payable Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of advances payable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable and Other Accrued Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and contingencies (Note 16)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid in capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total operating expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ExplorationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plant maintenance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ExplorationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exploration Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible notes payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable- related party, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPaidStateAndLocalAfterRefundReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Paid, State and Local, after Refund Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders&#8217; deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A ordinary Shares, $0.0001 par value; 400,000,000 authorized and 43,301,723 and 34,677,492 issued and outstanding at June 30, 2026, and December 31, 2025, respectively</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated other comprehensive income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Other Comprehensive Income (Loss), Net of Tax</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and stockholders&#8217; deficit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shareholder's votes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Voting Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Votes exercisable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Votes Exercisable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_VotesExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of Votes Exercisable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfVotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of votes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_PercentageOfVotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of votes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Domestic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Domestic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating and prepaid expenses paid by related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses, Related Party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Operating Activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralIndustriesDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">MINERAL RIGHTS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MineralIndustriesDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Industries Disclosures [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">INTANGIBLE ASSETS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes Payables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASSET RETIREMENT OBLIGATIONS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">FAIR VALUE MEASUREMENT</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">STOCKHOLDERS' DEFICIT</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">COMMITMENTS AND CONTINGENCIES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InvestmentInIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Investment in intangible assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InvestmentInIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment in intangible assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_InvestmentInIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investment in intangible assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SUBSEQUENT EVENTS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Non-Cash Interest Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncash Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Significant Accounting Policies [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_RecapitalizationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recapitalization [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndEquityInstrumentsCashAndCashEquivalentsUnrealizedAndRealizedGainsLossesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">INVESTMENT IN EQUITY SECURITY</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndEquityInstrumentsCashAndCashEquivalentsUnrealizedAndRealizedGainsLossesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment in Debt and Equity Instruments and Cash and Cash Equivalent [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PROPERTY, PLANT AND EQUIPMENT, NET</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ADVANCES PAYABLE</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advances Payable Text Block</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_AdvancesPayableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The disclosure of advance payables.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payables [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingencyDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ROYALTY AGREEMENT AND CONTINGENT CONSIDERATION</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingencyDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingencies Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">WARRANT LIABILITIES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantLiabilitiesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liabilities Text Block</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RELATED PARTY TRANSACTIONS</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GeneralAndAdministrativeExpensesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GENERAL AND ADMINISTRATIVE EXPENSES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GeneralAndAdministrativeExpensesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General And Administrative Expenses Disclosure Text Block</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_GeneralAndAdministrativeExpensesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure of general and administrative expenses.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">INCOME TAXES</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in operating assets and liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other receivables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Receivables</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from convertible notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Convertible Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable &#8211; related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable, Related Parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Purchase of fixed assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net (decrease) increase in cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of exchange rate changes on cash and cash equivalents</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effect of Exchange Rate on Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustment to reconcile net loss to cash used in operating activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Accounts receivable &#8211; related party</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Receivable, Related Parties</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">IncreaseDecreaseInOtherAssets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in other assets.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInTokenliability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Token liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInTokenliability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">IncreaseDecreaseInTokenliability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_IncreaseDecreaseInTokenliability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in token liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Taxes paid</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Capitalized, Investing Activity</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset retirement obligations</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountForInvestmentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of discount rate for investments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountForInvestmentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Discount For Investments Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_DiscountForInvestmentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The percentage of discount for investments.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plus interest repayable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of preference shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Purchase of Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShorttermDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of convertible note</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShorttermDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesAndLoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesAndLoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes and Loans Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Impairment Charges</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsAndAmortizationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mineral Rights Impairment and Amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsAndAmortizationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mineral Rights And Amortization Policy Text Block</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_MineralRightsAndAmortizationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The disclosure of accounting policies for mineral rights and amortization.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalUseSoftwarePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Internally Developed Software</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalUseSoftwarePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Use Software, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeLiabilitiesAtFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Derivative Liabilities at Fair Value [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value Contingent Consideration</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Effective Income Tax Rate</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfOtherOperatingCostAndExpenseByComponentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of General and Administrative Expenses</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Table]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount Rate</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The estimated measure of the percentage of discount rate.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from the Business Combination</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokenLiabilityIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Token liability issued.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokenLiabilityOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Token Liability Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokenLiabilityOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Token liability outstanding.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokensLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Token liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokensLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tokens Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_TokensLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tokens liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_UnsecuredPromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unsecured Promissory Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of the Following Table Presents Changes in the Equity-Linked Share Issuance Liability Measured Using Level 3 Inputs</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Deferred Tax Assets and Liabilities</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_SummaryofSignificantAccountingPoliciesScheduleofDepreciationforMobileEquipmentandOtherAssetsisComputedUsingtheStraightLineMethodDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Accounting Policies - Schedule of Depreciation for Mobile Equipment and Other Assets is Computed Using the Straight-Line Method (Details) [Table]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bgl_ConvertibleNotesAssumptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Assumptions [Member]</link:label>
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