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Equity Based Compensation - Summary of Activity Related to the 3.0x (Details) - Three Point Zero Units [Member]
12 Months Ended
Jan. 06, 2024
$ / shares
shares
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]  
Beginning balance | shares 533,707
Vested | shares (533,707)
Ending balance | shares 0
Weighted average grant date fair value, Beginning Balance | $ / shares $ 7.76
Weighted average grant date fair value, vested | $ / shares 7.76
Weighted-Average Grant Date Fair Value, ending | $ / shares $ 0