Equity Based Compensation - Schedule of Weighted Average Assumptions of Stock Option Grants (Details)	12 Months Ended
	Jan. 06, 2024	Dec. 25, 2021
Three Point Zero Units [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Expected dividend yield	0.00%
Expected volatility	50.00%
Risk-free rate	4.70%
Lattice Model [Member] | Common Class A [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Expected dividend yield	0.00%
Expected volatility	61.50%
Risk-free rate	3.60%
Suboptimal exercise factor	2.5
Black-Scholes Model [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Expected dividend yield		0.00%
Expected volatility		43.80%
Risk-free rate		0.90%
Expected term (in years)		6 years 6 months