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Revenues - Additional Information (Details)	12 Months Ended
	Dec. 31, 2025 Customer
Customer Concentration Risk | Revenue
Product Information [Line Items]
Number of customer whose revenue was 10% or more of consolidated revenue	0

X

- Definition

Number of Customer.

+ References

No definition available.

+ Details

Name:	btsg_NumberOfCustomer
Namespace Prefix:	btsg_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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

X

- Details

Name:	us-gaap_ConcentrationRiskByTypeAxis=us-gaap_CustomerConcentrationRiskMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_ConcentrationRiskByBenchmarkAxis=us-gaap_SalesRevenueNetMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: