Leases - Schedule of Supplemental Cash Flow Information and Non-Cash Activity Related to Operating Leases (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jun. 27, 2021
Leases [Abstract]
Operating cash flows used by operating leases	$ 2,686	$ 2,766
Financing cash flows used by finance leases	2,123	3,707	$ 3,646
Non-cash activities:
Leased assets obtained in exchange for new operating lease liabilities	2,733	1,662
Leased assets obtained in exchange for new finance lease liabilities	$ 5,629	$ 2,493	$ 740