refactor: consolidate caching to main workflow again

Author: rjaegers

.github/workflows/integration-test.yml

@@ -37,10 +37,10 @@ jobs:
       - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
         with:
           persist-credentials: false
-      - uses: actions/cache/restore@5a3ec84eff668545956fd18022155c47e93e2684 # v4.2.3
+      - uses: actions/cache@5a3ec84eff668545956fd18022155c47e93e2684 # v4.2.3
         if: inputs.flavor == 'cpp'
         with:
-          path: test/.xwin-cache
+          path: test/cpp/.xwin-cache
           key: xwin-cache
           restore-keys: |
             xwin-cache