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Stock Based Compensation - Additional Information (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended
	Sep. 20, 2024	Mar. 31, 2025	Dec. 31, 2024	Oct. 02, 2024
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Description of forward stock split	103-for-one forward stock split	103-for-one stock split
Common stock, shares, issued		334,461,630	334,461,630
Common stock, shares, outstanding		334,461,630	334,461,630
Stock compensation		$ 2,045
Dynasty Parent Holdings, L.P.
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Common stock, shares, issued	281,211,630
Common stock, shares, outstanding	281,211,630
Dynasty Parent Holdings, L.P. \| Class A-1 Units and Class A-2 Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	275,053,375
Dynasty Parent Holdings, L.P. \| Class B Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	6,158,255
Restricted Stock Awards (RSA) \| Dynasty Parent Holdings, L.P. \| Class A-1 Units and Class A-2 Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	8,157
Restricted Stock Awards (RSA) \| Dynasty Parent Holdings, L.P. \| Class B Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	6,028,394
IPO
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Price per share				$ 24
IPO \| Dynasty Parent Holdings, L.P. \| Class A-1 Units and Class A-2 Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	275,053,375
IPO \| Dynasty Parent Holdings, L.P. \| Class B Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	6,158,255
IPO \| Restricted Stock Awards (RSA) \| Dynasty Parent Holdings, L.P. \| Class A-1 Units and Class A-2 Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	8,157
IPO \| Restricted Stock Awards (RSA) \| Dynasty Parent Holdings, L.P. \| Class B Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares issued	6,028,394