NATURE OF BUSINESS, BASIS OF PRESENTATION AND SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Schedule of Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Net (Loss) Income	$ (40,223)	$ 20,970	$ 213,158
Pension plan adjustments, Pre-Tax Amount	(660)	(39)	(884)
Pension plan adjustment, Tax Effect	210	9	229
Pension plan adjustments, After-Tax Amount	(450)	(30)	(655)
Foreign currency translation adjustments, Pre-Tax Amount	3,034	2,292	2,251
Foreign currency translation adjustments, Tax Effect	0	0	(1,089)
Foreign currency translation adjustments, After-Tax-Amount	3,034	2,292	1,162
Other Comprehensive Income (Loss), Pre-Tax Amount	2,374	2,253	1,367
Other Comprehensive Income (Loss), Tax Effect	210	9	(860)
Other Comprehensive Income (Loss), net of tax	2,584	2,262	507
Comprehensive Income (loss)	$ (37,639)	$ 23,232	$ 213,665