[GHA] Prepare new required stages for precommit (#21766)

* Add Smart CI support to webassembly workflow

* Add ONNX_Models to required checks list

.github/workflows/linux.yml

@@ -586,7 +586,7 @@ jobs:
   Overall_Status:
     name: ci/gha_overall_status
     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]
+            CPU_Functional_Tests, TensorFlow_Hub_Models_Tests, PyTorch_Models_Tests, NVIDIA_Plugin, ONNX_Models]
     if: ${{ always() }}
     runs-on: ubuntu-latest
     steps:

.github/workflows/webassembly.yml

@@ -2,21 +2,7 @@ name: Webassembly
 on:
   workflow_dispatch:
   pull_request:
-    paths-ignore:
-      - '**/docs/**'
-      - 'docs/**'
-      - '**/**.md'
-      - '**.md'
-      - '**/layer_tests_summary/**'
-      - '**/conformance/**'
   push:
-    paths-ignore:
-      - '**/docs/**'
-      - 'docs/**'
-      - '**/**.md'
-      - '**.md'
-      - '**/layer_tests_summary/**'
-      - '**/conformance/**'
     branches:
       - master
       - 'releases/**'
@@ -27,7 +13,31 @@ concurrency:
   cancel-in-progress: true
 
 jobs:
+  Smart_CI:
+    runs-on: ubuntu-latest
+    outputs:
+      affected_components: "${{ steps.smart_ci.outputs.affected_components }}"
+      skip_workflow: "${{ steps.smart_ci.outputs.skip_workflow }}"
+    steps:
+      - name: checkout action
+        uses: actions/checkout@v4
+        with:
+          sparse-checkout: .github/actions/smart-ci
+
+      - name: Get affected components
+        id: smart_ci
+        uses: ./.github/actions/smart-ci
+        with:
+          repository: ${{ github.repository }}
+          pr: ${{ github.event.number }}
+          commit_sha: ${{ github.sha }}
+          component_pattern: "category: (.*)"
+          repo_token: ${{ secrets.GITHUB_TOKEN }}
+          skip_when_only_listed_labels_set: 'docs'
+          skip_when_only_listed_files_changed: '*.md,*.rst,*.png,*.jpg,*.svg,*/layer_tests_summary/*,*/conformance/*'
+
   Build:
+    needs: Smart_CI
     defaults:
       run:
         shell: bash
@@ -44,6 +54,7 @@ jobs:
       OPENVINO_REPO: /__w/openvino/openvino/openvino
       OPENVINO_BUILD_DIR: /__w/openvino/openvino/openvino_build
       SCCACHE_AZURE_KEY_PREFIX: webassembly_Release
+    if: "!needs.smart_ci.outputs.skip_workflow"
     steps:
       - name: Install git
         run: apt-get update && apt-get install --assume-yes --no-install-recommends git ca-certificates
@@ -76,3 +87,17 @@ jobs:
 
       - name: Show ccache stats
         run: ${SCCACHE_PATH} --show-stats
+
+  Overall_Status:
+    name: ci/gha_overall_status_webassembly
+    needs: [Smart_CI, Build]
+    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