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Income Taxes - Schedule of Unrecognized Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Unrecognized Tax Benefits [Roll Forward]      
Beginning balance $ 9 $ 14 $ 15
Additions for tax positions related to prior years   9  
Reductions for tax positions related to prior years   (7) (1)
Additions for tax positions related to current years 2 2  
Lapse of statute of limitations (5) (5)  
Settlements   (4)  
Ending balance $ 6 $ 9 $ 14