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Intangible Assets - Summary of Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Finite-Lived Intangible Assets [Line Items]      
Franchise rights impairment $ (245) $ 0 $ 0
Franchise Rights [Member]      
Finite-Lived Intangible Assets [Line Items]      
Intangible Assets, Net (Excluding Goodwill) 312,559 326,769 334,597
Finite-lived Intangible Assets Acquired   6,025  
Amortization expense $ (13,965) $ (13,853) $ 14,300