[GHA] Improvement of test execution time cache (#19881)

* renamed cache

* disabled PR cache

* corrected save condition

* removed id

* fixed path in save cache action

* corrected if condition

.github/workflows/linux.yml

@@ -585,7 +585,7 @@ jobs:
             --ignore=${{ env.INSTALL_TEST_DIR }}/pyopenvino/tests/test_utils/test_utils.py \
             --ignore=${{ env.INSTALL_TEST_DIR }}/pyopenvino/tests/test_onnx/test_zoo_models.py \
             --ignore=${{ env.INSTALL_TEST_DIR }}/pyopenvino/tests/test_onnx/test_backend.py
-      
+
       - name: Python API snippets
         run: |
           source ${{ env.INSTALL_DIR }}/setupvars.sh
@@ -774,12 +774,13 @@ jobs:
           python3 -m pip install --upgrade pip
           python3 -m pip install -r ${{ env.INSTALL_TEST_DIR }}/functional_test_utils/requirements.txt
 
-      - name: Cache Tests Execution Time
-        id: tests-functional-cpu-cache
-        uses: actions/cache@v3
+      - name: Restore tests execution time
+        uses: actions/cache/restore@v3
         with:
           path: ${{ env.PARALLEL_TEST_CACHE }}
-          key: ${{ runner.os }}-tests-functional-cpu-cache
+          key: ${{ runner.os }}-tests-functional-cpu-stamp-${{ github.sha }}
+          restore-keys: |
+            ${{ runner.os }}-tests-functional-cpu-stamp
 
       - name: Intel CPU plugin func tests (parallel)
         run: |
@@ -787,6 +788,13 @@ jobs:
           python3 ${{ env.PARALLEL_TEST_SCRIPT }} -e ${{ env.INSTALL_TEST_DIR }}/ov_cpu_func_tests -c ${{ env.PARALLEL_TEST_CACHE }} -w ${{ env.INSTALL_TEST_DIR }} -s suite -rf 0 -- --gtest_print_time=1 --gtest_filter=*smoke*
         timeout-minutes: 25
 
+      - name: Save tests execution time
+        uses: actions/cache/save@v3
+        if: github.ref_name == 'master'
+        with:
+          path: ${{ env.PARALLEL_TEST_CACHE }}
+          key: ${{ runner.os }}-tests-functional-cpu-stamp-${{ github.sha }}
+
       - name: Upload Test Results
         uses: actions/upload-artifact@v3
         if: ${{ always() }}