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Related Party Transactions - Additional Information (Details) - USD ($)
$ in Thousands
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Feb. 28, 2022
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 31, 2024
Dec. 31, 2023
Related Party Transactions              
Percentage of net cash saving to be retained       15.00%   15.00%  
Derecognition of tax receivable agreement liability   $ 0 $ 5,201 $ 0 $ 5,201 $ 5,201 $ 0
Related Party              
Related Party Transactions              
Percentage of net cash saving to be retained 15.00%            
Related Party | Common Class A              
Related Party Transactions              
Units of share converted (in shares) 1