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Employee Benefit Plans - Schedule of Expected Future Pension Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Jul. 01, 2022
Jul. 02, 2021
Retirement Benefits [Abstract]    
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) $ 1,031 $ 1,962
Defined Benefit Plan, Expected Future Benefit Payment [Abstract]    
2023 1,454  
2024 1,539  
2025 1,535  
2026 1,506  
2027 1,324  
Thereafter (next 5 years) 8,105  
Total $ 15,463