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Goodwill and Other Intangible Assets, net - Schedule of Other Intangible Assets (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Sep. 28, 2025 | Sep. 29, 2024 | Sep. 28, 2025 | Sep. 29, 2024 | Dec. 29, 2024
Intangible assets with definite lives |  |  |  |  |
Gross Carrying Amount | $ 458,417 |  | $ 458,417 |  | $ 445,048
Accumulated Amortization | (208,230) |  | (208,230) |  | (178,514)
Net Amount | 250,187 |  | 250,187 |  | 266,534
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |  |  |  |
Gross Carrying Amount | 1,011,817 |  | 1,011,817 |  | 998,448
Accumulated Amortization | (208,230) |  | (208,230) |  | (178,514)
Net Amount | 803,587 |  | 803,587 |  | 819,934
Amortization of intangible assets | 7,901 | $ 7,780 | 23,392 | $ 22,597 |
Trade names and trademarks |  |  |  |  |
Intangible assets with indefinite lives |  |  |  |  |
Trade names and trademarks | 553,400 |  | 553,400 |  | 553,400
Franchise agreements |  |  |  |  |
Intangible assets with definite lives |  |  |  |  |
Gross Carrying Amount | 27,154 |  | 27,154 |  | 27,154
Accumulated Amortization | (12,035) |  | (12,035) |  | (11,050)
Net Amount | 15,119 |  | 15,119 |  | 16,104
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |  |  |  |
Accumulated Amortization | (12,035) |  | (12,035) |  | (11,050)
Customer relationships |  |  |  |  |
Intangible assets with definite lives |  |  |  |  |
Gross Carrying Amount | 15,000 |  | 15,000 |  | 15,000
Accumulated Amortization | (7,926) |  | (7,926) |  | (7,277)
Net Amount | 7,074 |  | 7,074 |  | 7,723
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |  |  |  |
Accumulated Amortization | (7,926) |  | (7,926) |  | (7,277)
Reacquired franchise rights |  |  |  |  |
Intangible assets with definite lives |  |  |  |  |
Gross Carrying Amount | 416,263 |  | 416,263 |  | 402,894
Accumulated Amortization | (188,269) |  | (188,269) |  | (160,187)
Net Amount | 227,994 |  | 227,994 |  | 242,707
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |  |  |  |
Accumulated Amortization | $ (188,269) |  | $ (188,269) |  | $ (160,187)

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