chore(ci): Use Playwright Docker images instead of install-playwright action

Replace the custom `install-playwright` composite action with official
Playwright Docker images for browser integration tests, and inline
`npx playwright install` for other jobs.

**Browser integration tests** (playwright + loader):
- Use `mcr.microsoft.com/playwright:v1.56.1-noble` container image
- Browsers are pre-installed, no download or caching needed

**Remix, E2E, canary, flaky-test-detector**:
- Replace composite action with `npx playwright install --with-deps chromium`
- These jobs have complex setups (Node version matrix, pnpm, Verdaccio)
  where a container adds unnecessary complexity

This also removes the `actions/cache@v4` usage from the composite action,
eliminating another source of Node.js 20 deprecation warnings.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: mydea

.github/actions/install-playwright/action.yml

@@ -478,6 +478,8 @@ jobs:
     needs: [job_get_metadata, job_build]
     if: needs.job_build.outputs.changed_browser_integration == 'true' || github.event_name != 'pull_request'
     runs-on: ubuntu-24.04-large-js
+    container:
+      image: mcr.microsoft.com/playwright:v1.56.1-noble
     timeout-minutes: 25
     strategy:
       fail-fast: false
@@ -535,16 +537,13 @@ jobs:
         uses: actions/setup-node@v6
         with:
           node-version-file: 'package.json'
+      - name: Install yarn
+        run: npm install -g yarn@1.22.22
       - name: Restore caches
         uses: ./.github/actions/restore-cache
         with:
           dependency_cache_key: ${{ needs.job_build.outputs.dependency_cache_key }}
 
-      - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: ${{ matrix.project }}
-
       - name: Run Playwright tests
         env:
           PW_BUNDLE: ${{ matrix.bundle }}
@@ -581,6 +580,8 @@ jobs:
     needs: [job_get_metadata, job_build]
     if: needs.job_build.outputs.changed_browser_integration == 'true' || github.event_name != 'pull_request'
     runs-on: ubuntu-24.04
+    container:
+      image: mcr.microsoft.com/playwright:v1.56.1-noble
     timeout-minutes: 15
     strategy:
       fail-fast: false
@@ -603,16 +604,13 @@ jobs:
         uses: actions/setup-node@v6
         with:
           node-version-file: 'package.json'
+      - name: Install yarn
+        run: npm install -g yarn@1.22.22
       - name: Restore caches
         uses: ./.github/actions/restore-cache
         with:
           dependency_cache_key: ${{ needs.job_build.outputs.dependency_cache_key }}
 
-      - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: chromium
-
       - name: Run Playwright Loader tests
         env:
           PW_BUNDLE: ${{ matrix.bundle }}
@@ -794,9 +792,7 @@ jobs:
           dependency_cache_key: ${{ needs.job_build.outputs.dependency_cache_key }}
 
       - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: chromium
+        run: npx playwright install --with-deps chromium
 
       - name: Run integration tests
         env:
@@ -957,10 +953,8 @@ jobs:
           SENTRY_E2E_WORKSPACE_ROOT: ${{ github.workspace }}
 
       - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: chromium
-          cwd: ${{ runner.temp }}/test-application
+        run: npx playwright install --with-deps chromium
+        working-directory: ${{ runner.temp }}/test-application
 
       - name: Run E2E test
         working-directory: ${{ runner.temp }}/test-application
@@ -1072,10 +1066,8 @@ jobs:
         run: ${{ matrix.build-command || 'pnpm test:build' }}
 
       - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: chromium
-          cwd: ${{ runner.temp }}/test-application
+        run: npx playwright install --with-deps chromium
+        working-directory: ${{ runner.temp }}/test-application
 
       - name: Run E2E test
         working-directory: ${{ runner.temp }}/test-application

.github/workflows/build.yml

@@ -165,10 +165,8 @@ jobs:
         run: yarn ${{ matrix.build-command }}
 
       - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: chromium
-          cwd: ${{ runner.temp }}/test-application
+        run: npx playwright install --with-deps chromium
+        working-directory: ${{ runner.temp }}/test-application
 
       - name: Run E2E test
         working-directory: ${{ runner.temp }}/test-application

.github/workflows/canary.yml

@@ -50,9 +50,7 @@ jobs:
         run: yarn build
 
       - name: Install Playwright
-        uses: ./.github/actions/install-playwright
-        with:
-          browsers: 'chromium'
+        run: npx playwright install --with-deps chromium
 
       - name: Determine changed tests
         uses: dorny/paths-filter@v4.0.1