feat: add Package Manager test to health_checks (#968)

* add package-manager-tests to health-checks

* remove poc-e2e-flow-test

* add run_package_manager_tests_tests condition

* fix run_package_manager_tests_tests condition

* remove amplify-backend_windows-latest_8-core

* use re-usable action for run-e2e

* Revert "remove amplify-backend_windows-latest_8-core"

This reverts commit 547834a.

* Revert "use re-usable action for run-e2e"

This reverts commit 3159e01.

* revert re-usable action

Author: 0618

.github/workflows/health_checks.yml

@@ -164,6 +164,53 @@ jobs:
           aws-region: us-west-2
       - name: Run E2E tests
         run: npm run e2e
+  run_package_manager_e2e_tests:
+    if: needs.do_include_e2e.outputs.run_e2e == 'true'
+    strategy:
+      # will finish running other test matrices even if one fails
+      fail-fast: false
+      matrix:
+        os: [ubuntu-latest, macos-latest, windows-latest]
+        pkg-manager: [npm, yarn-classic, yarn-modern, pnpm]
+        node-version: [20]
+        exclude:
+          - os: windows-latest
+            pkg-manager: pnpm
+    env:
+      PACKAGE_MANAGER: ${{ matrix.pkg-manager }}
+    runs-on: ${{ matrix.os }}
+    timeout-minutes: 25
+    needs:
+      - build
+      - do_include_e2e
+    permissions:
+      # these permissions are required for the configure-aws-credentials action to get a JWT from GitHub
+      id-token: write
+      contents: read
+    steps:
+      - name: Checkout aws-amplify/amplify-cli repo
+        uses: actions/checkout@b4ffde65f46336ab88eb53be808477a3936bae11 # v4.1.1
+      - name: Setup Node.js
+        uses: actions/setup-node@5e21ff4d9bc1a8cf6de233a3057d20ec6b3fb69d # version 3.8.1
+        with:
+          node-version: ${{ matrix.node-version }}
+      - name: Restore Build Cache
+        uses: ./.github/actions/restore_build_cache
+      - name: Configure test tooling credentials
+        uses: ./.github/actions/setup_profile
+        with:
+          role-to-assume: ${{ secrets.E2E_TOOLING_ROLE_ARN }}
+          aws-region: us-west-2
+          profile-name: e2e-tooling
+      - name: Configure test execution credentials
+        uses: aws-actions/configure-aws-credentials@04b98b3f9e85f563fb061be8751a0352327246b0 # version 3.0.1
+        with:
+          role-to-assume: ${{ secrets.E2E_RUNNER_ROLE_ARN }}
+          aws-region: us-west-2
+      - name: Run E2E flow tests with ${{ matrix.pkg-manager }}
+        shell: bash
+        run: |
+          PACKAGE_MANAGER=${{matrix.pkg-manager}} npm run test:dir packages/integration-tests/src/package_manager_sanity_checks.test.ts
   lint:
     runs-on: ubuntu-latest
     needs: