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Debt and Derivatives - Schedule of Interest Rate Swap with Notional Value (Parenthetical) (Details) $ in Millions	Dec. 31, 2025 USD ($)
Debt Disclosure [Abstract]
Notional amount, to hedge cash flow risk of variability	$ 500

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- Definition

Notional amount, to hedge the cash flow risk of variability.

+ References

No definition available.

+ Details

Name:	btsg_NotionalAmountToHedgeCashFlowRiskOfVariability
Namespace Prefix:	btsg_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

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- References

No definition available.

+ Details

Name:	us-gaap_DebtDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration