Income Taxes - Schedule of Components of Deferred Tax Valuation Allowance (Details) - USD ($) $ in Thousands	Jun. 29, 2025	Jun. 30, 2024	Jul. 02, 2023
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (55,208)	$ (55,250)	$ (43,910)
Capital Loss Carryforward
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(3,628)	(16,442)	(16,390)
NOL Carryforwards and Reversing Temporary Differences [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(36,049)	(27,231)	(16,235)
Disallowed Interest Deduction Carryforwards [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(3,838)	(1,860)
Tax Credit [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(10,549)	$ (9,717)	(10,800)
Other Deferred Tax Assets [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (1,144)		$ (485)