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Equity-Based Compensation - Additional Information (Details) - USD ($) $ / shares in Units, $ in Thousands	1 Months Ended		3 Months Ended		9 Months Ended		12 Months Ended
	Jun. 30, 2023	Jan. 31, 2023	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023	Mar. 31, 2023	Dec. 31, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Capitalized amount of stock based compensation			$ 0	$ 200	$ 100	$ 700
Weighted-average grant date fair value per option						$ 506.8
Awards granted, straight-line using third-party valuation (in dollars per share)								$ 243.2	$ 1,200
Fair value of common stock for awards granted		$ 770.8
Restricted Stock
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Grants in period					0
Stock Appreciation Rights (SARs)
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Grants in period					0
2020 Equity Incentive Plan [Member] | Software Costs
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Capitalized amount of stock based compensation				200		$ 700
2023 & 2020 Equity Incentive Plan [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Capitalized amount of stock based compensation			3,200	9,600	$ 5,000	24,500
Number of options, Granted	32,375				0
Number of accelerated vested shares		148
Number of repriced option awards		7,538
Recognized stock compensation expense			3,157	$ 4,836	$ 9,448	$ 23,773
Unrecognized stock-based compensation expense			7,500		$ 7,500		$ 17,100
Additional Expense		$ 500
Weighted-average period expected to be recognized					1 year		1 year 8 months 12 days
2023 & 2020 Equity Incentive Plan [Member] | Employee Stock Option
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of options, Granted					0
2023 Equity Incentive Plan [Member] | Software Costs
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Capitalized amount of stock based compensation			$ 0		$ 100

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