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Income Taxes - Additional Information (Detail)
$ in Thousands, BitCoinUnits in Millions
 3 Months Ended 9 Months Ended
May 30, 2025
USD ($)
Apr. 24, 2024
USD ($)
BitCoinUnits
Sep. 30, 2025
USD ($)
Sep. 30, 2024
USD ($)
Sep. 30, 2025
USD ($)
Sep. 30, 2024
USD ($)
Dec. 31, 2023
USD ($)
Sep. 30, 2023
USD ($)
Income tax (expense)     $ (3,042) $ (347) $ (5,656) $ (479)    
Uncertain tax position     1,300   1,300      
Effective income tax expense, change in enacted tax rate, amount         1,500      
BT Hold Co LLC [Member]                
Income tax (expense)         $ (5,600) $ (500)    
Effective income tax rate reconciliation, percent         (15.79%) (16.52%)    
Net income (loss) before tax attributable to non controlling interest         $ 200 $ 900    
Tax Receivable Agreement [Member]                
Tax receivable agreement liability             $ 900 $ 700
Tax receivable agreement liability additional adjustment   $ 1,300         $ 200  
Percentage of aggregate tax benefits   85.00%            
Tax Receivable Agreement [Member] | BT Hold Co LLC [Member]                
Tax savings percentage distributable         85.00%      
Payable as per tax receivable agreement     $ 2,200   $ 2,200      
Aggregate number of units in connection with exchange | BitCoinUnits   2.9            
Tax Receivable Agreement [Member] | BT Assets [Member]                
Cash payments for termination of agreement $ 8,400       $ 9,100