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Retirement Plans and Postretirement Costs - Summary of Supplemental Executive Retirement Plan and Postretirement Plans Income and Expense (Details) - USD ($) $ in Thousands | 12 Months Ended
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Jun. 30, 2024 | Jul. 02, 2023
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT): |  |
Plan settlements | $ 0 | $ 217
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME: |  |
Amortization of unrecognized net loss | (242) | (342)
SERP |  |
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT): |  |
Service cost | 84 | 80
Interest cost | 90 | 101
Plan settlements |  | 217
Amortization of unrecognized net loss | 46 | 99
Net periodic benefit cost (credit) | $ 220 | $ 497
Benefit Obligations: |  |
Benefit Obligations, Discount rate | 5.21% | 5.07%
Benefit Obligations, Rate of compensation increases | 5.46% | 4.61%
Net Periodic Benefit Cost: |  |
Net Periodic Benefit Cost, Discount rate | 5.07% | 4.26%
Benefit Obligations, Rate of compensation increases | 4.00% | 4.00%
CHANGE IN PROJECTED BENEFIT OBLIGATION: |  |
Benefit obligation at beginning of year | $ 2,305 | $ 3,164
Service cost | 84 | 80
Interest cost | 90 | 101
Actuarial loss (gain) | 118 | (163)
Plan settlements | (1,200) | (863)
Benefits paid | (14) | (14)
Benefit obligation at end of year | 2,583 | 2,305
CHANGE IN PLAN ASSETS: |  |
Employer contribution | 14 | 877
Benefits paid | (14) | (877)
Funded status - accrued benefit obligations | (2,583) | (2,305)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS: |  |
Accrued payroll and benefits (current liabilities) | (1,204) | (1,099)
Accrued benefit obligations (long-term liabilities) | (1,379) | (1,206)
Net amount recognized | (2,583) | (2,305)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME: |  |
Net periodic benefit cost | 220 | 497
Net actuarial loss (gain) | 118 | (163)
Plan settlement |  | (217)
Amortization of unrecognized net loss | (46) | (99)
Total recognized in other comprehensive loss (income), before tax | 72 | (479)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax | 292 | 18
Postretirement Benefits |  |
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT): |  |
Service cost | 9 | 10
Interest cost | 63 | 62
Amortization of unrecognized net loss | 196 | 243
Net periodic benefit cost (credit) | 268 | 315
CHANGE IN PROJECTED BENEFIT OBLIGATION: |  |
Benefit obligation at beginning of year | 1,296 | 1,477
Service cost | 9 | 10
Interest cost | 63 | 62
Actuarial loss (gain) | (128) | (179)
Benefits paid | (82) | (74)
Benefit obligation at end of year | 1,158 | 1,296
CHANGE IN PLAN ASSETS: |  |
Employer contribution | 82 | 74
Benefits paid | (82) | (74)
Funded status - accrued benefit obligations | (1,158) | (1,296)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS: |  |
Accrued payroll and benefits (current liabilities) | (108) | (140)
Accrued benefit obligations (long-term liabilities) | (1,050) | (1,157)
Net amount recognized | (1,158) | (1,297)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME: |  |
Net periodic benefit cost | 268 | 315
Net actuarial loss (gain) | (128) | (179)
Amortization of unrecognized net loss | (196) | (243)
Total recognized in other comprehensive loss (income), before tax | (324) | (422)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax | $ (56) | $ (107)
Postretirement Health |  |
Benefit Obligations: |  |
Benefit Obligations, Discount rate | 5.23% | 5.06%
Net Periodic Benefit Cost: |  |
Net Periodic Benefit Cost, Discount rate | 5.06% | 4.23%
Postretirement Life |  |
Benefit Obligations: |  |
Benefit Obligations, Discount rate | 5.45% | 5.20%
Net Periodic Benefit Cost: |  |
Net Periodic Benefit Cost, Discount rate | 5.20% | 4.57%

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