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Non-controlling interests - Schedule of Redemptions (Detail) - BT Hold Co [Member]
 9 Months Ended
Sep. 30, 2024
shares
Redemption and acquisition of interests [Abstract]  
Number of BT HoldCo interests redeemed by the non-controlling interest holders 2,906,976
Number of BT HoldCo interests received by PubCo 2,906,976
Cancellation of Common Units [Abstract]  
Common Units surrendered 2,906,976
Class V Common Stock [Member]  
Cancellation of Common Units [Abstract]  
Common Units surrendered 2,906,976
Class A Common Stock [Member]  
Issuance of Class A common stock [Abstract]  
Shares of Class A common stock issued in connection with the redemption of BT HoldCo interests 2,906,976