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Unit-based Compensation and Warrant Units - Summary of Class C Units, Valuation Assumptions (Details) - Class C Units
12 Months Ended
Jun. 07, 2022
Sep. 25, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Dividend yield 0.00% 0.00%
Volatility 45.00% 40.00%
Risk-free interest rate 2.30% 0.29%
Expected term (years) 2 years 2 years