fix(ci): delete old prod build caches on cache miss (#26437)

Co-authored-by: Devin AI <158243242+devin-ai-integration[bot]@users.noreply.github.com>

.github/workflows/production-build-without-database.yml

@@ -4,6 +4,7 @@ on:
 
 permissions:
   contents: read
+  actions: write
 
 env:
   ALLOWED_HOSTNAMES: ${{ vars.CI_ALLOWED_HOSTNAMES }}
@@ -44,4 +45,26 @@ jobs:
       - uses: actions/checkout@v4
       - uses: ./.github/actions/dangerous-git-checkout
       - uses: ./.github/actions/yarn-install
+      - name: Generate cache key
+        id: cache-key
+        uses: ./.github/actions/cache-build-key
+        with:
+          branch_key: ${{ github.head_ref || github.ref_name }}
+      - name: Check if production build cache exists
+        uses: actions/cache@v4
+        id: cache-check
+        with:
+          path: |
+            ${{ github.workspace }}/apps/web/.next
+            ${{ github.workspace }}/apps/web/public/embed
+            **/.turbo/**
+            **/dist/**
+          key: ${{ steps.cache-key.outputs.key }}
+          lookup-only: true
+      - name: Delete old production build caches for this branch
+        if: steps.cache-check.outputs.cache-hit != 'true'
+        uses: useblacksmith/cache-delete@v1
+        with:
+          key: prod-build-${{ github.head_ref || github.ref_name }}
+          prefix: "true"
       - uses: ./.github/actions/cache-build