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Intangible Assets - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Finite-Lived Intangible Assets [Line Items]      
Franchise agreement, term 20 years    
Franchise rights impairment $ 245 $ 0 $ 0
Expected Amortization, year three 14,000    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 14,000    
Expected Amortization, next fiscal year 14,000    
Expected Amortization, year five 13,900    
Expected Amortization, year four 13,900    
Goodwill impairment loss 16,700 0 0
Franchise Rights [Member]      
Finite-Lived Intangible Assets [Line Items]      
Amortization expense $ (13,965) $ (13,853) $ 14,300