Income Taxes - Schedule of Components of Deferred Tax Valuation Allowance (Details) - USD ($) $ in Thousands	Jul. 02, 2023	Jul. 03, 2022	Jun. 27, 2021
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (43,910)	$ (31,667)	$ (36,980)
Capital Loss Carryforward
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(16,390)	(16,318)	(17,429)
NOL Carryforwards [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(16,235)	(4,570)	(2,336)
Tax Credit [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(10,800)	$ (10,779)	$ (17,215)
Other Deferred Tax Assets [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (485)