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Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended 24 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Dec. 28, 2021
Jan. 02, 2024
Goodwill and Other Intangible Assets        
Goodwill $ 1,451 $ 1,451   $ 1,451
Other intangible assets        
Total indefinite-lived intangible assets 243,715 243,211   243,715
Total definite-lived intangible assets 8,012 8,313   8,012
Total intangible assets, net $ 251,727 251,524   $ 251,727
Impairment, Intangible Asset, Finite-Lived, Statement of Income or Comprehensive Income [Extensible Enumeration] General and Administrative Expense      
Amortization expenses related to our definite-lived intangible assets $ 800 700 $ 700  
Minimum        
Other intangible assets        
Definite-lived intangible assets, amortization period 1 year     1 year
Maximum        
Other intangible assets        
Definite-lived intangible assets, amortization period 52 years     52 years
Licensing agreements        
Other intangible assets        
Total definite-lived intangible assets $ 4,602 5,092   $ 4,602
Impairment expense of Intangible assets     $ 1,300 0
Non-transferable alcoholic beverage licenses        
Other intangible assets        
Total definite-lived intangible assets 3,410 3,221   3,410
Trade names and trademarks        
Other intangible assets        
Total indefinite-lived intangible assets 234,341 234,077   234,341
Transferable alcoholic beverage licenses        
Other intangible assets        
Total indefinite-lived intangible assets $ 7,923 $ 7,683   $ 7,923