Business Segment Information - Reconciliations of Segment Gross Profit to Consolidated Loss Before Income Taxes (Details) - USD ($) $ in Thousands	3 Months Ended																12 Months Ended
	Jun. 29, 2025	[1]	Mar. 30, 2025	[1]	Dec. 29, 2024	[1]	Sep. 29, 2024	[1]	Jun. 30, 2024	[2]	Mar. 31, 2024	[2]	Dec. 31, 2023	[2]	Oct. 01, 2023	[2]	Jun. 29, 2025	Jun. 30, 2024	Jul. 02, 2023
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	$ (1,129)		$ (445)		$ 534		$ 9,458		$ 10,791		$ 4,764		$ 1,636		$ (575)		$ 8,418	$ 16,616	$ 14,241
Selling, general and administrative expenses																	49,005	46,632	47,345
(Benefit) provision for bad debts																	(166)	1,571	(89)
Restructuring costs																	8,924	5,101
(Gain) loss on sale of assets																	(40,079)	62	278
Other operating expense, net																	254	671	7,578
Operating loss																	(9,520)	(37,421)	(40,871)
Interest income																	(888)	(2,136)	(2,109)
Interest expense																	9,520	9,862	7,577
Equity in loss (earnings) of unconsolidated affiliates																	477	390	(896)
Loss before income taxes																	(18,629)	(45,537)	(45,443)
Americas [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	(20,217)	(17,630)	(14,659)
Brazil [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	16,027	14,755	12,162
Asia [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	$ 12,608	$ 19,491	$ 16,738

[1] Gross profit (loss) for our domestic operations for all fiscal quarters of fiscal 2025 was impacted by softer sales and profitability in the Asia Segment and transition costs in the Americas Segment.

[2] Gross (loss) profit for our domestic operations for all fiscal quarters of fiscal 2024 was impacted by higher manufacturing costs and lower conversion margins.