INCOME TAXES - Schedule of Components of (Loss) Income Before Income Taxes by Source of Income (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Income Tax Disclosure [Abstract]
United States	$ (51,995)	$ 24,683	$ 254,027
Non-United States	7,689	7,347	15,703
(Loss) Income Before Income Taxes	$ (44,306)	$ 32,030	$ 269,730