Leases - Schedule of Supplemental Cash Flow Information and Non-Cash Activity Related to Operating Leases (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 03, 2022	Jun. 27, 2021	Jun. 28, 2020
Leases [Abstract]
Operating cash flows used by operating leases	$ 2,766	$ 2,465
Financing cash flows used by finance leases	3,707	3,646	$ 6,035
Non-cash activities:
Leased assets obtained in exchange for new operating lease liabilities	1,662	2,606
Leased assets obtained in exchange for new finance lease liabilities	$ 2,493	$ 740	$ 6,301