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Revenue (Contract Liabilities) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 29, 2024
Oct. 01, 2023
Movement in Deferred Revenue [Roll Forward]    
Deferred franchise and development fees at beginning of period $ 50,474 $ 46,449
Revenue recognized during the period (5,854) (5,469)
Additions during the period 7,370 9,494
Deferred franchise and development fees at end of period $ 51,990 $ 50,474