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Retirement Plans and Postretirement Costs - Schedule of 401(k) Plan Contribution (Details) - USD ($) $ in Thousands | 12 Months Ended
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Jul. 02, 2023 | Jul. 03, 2022
Retirement Benefits [Abstract] |  |
Employer contribution defined contribution plan | $ 1,829 | $ 1,964

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- Definition Amount of cost for defined contribution plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 70 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480794/715-70-50-1 + Details
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