[GHA] Alternative way to handle required pipeline checks (#21164)

.github/workflows/linux.yml

@@ -1569,3 +1569,18 @@ jobs:
 
       - name: Show ccache stats
         run: ${SCCACHE_PATH} --show-stats
+
+  Overall_Status:
+    name: ci/gha_linux
+    needs: [Smart_CI, Build, Debian_Packages, Samples, Conformance, ONNX_Runtime, CXX_Unit_Tests, Python_Unit_Tests,
+            CPU_Functional_Tests, TensorFlow_Hub_Models_Tests, PyTorch_Models_Tests, NVIDIA_Plugin]
+    if: ${{ always() }}
+    runs-on: ubuntu-latest
+    steps:
+      - name: Check status of all jobs
+        if: >-
+          ${{
+            contains(needs.*.result, 'failure') || 
+            contains(needs.*.result, 'cancelled')
+          }}
+        run: exit 1