Move Playwright tests to Tests Workflow itself

Currently the test-results and annotations form jobs are getting added
to random Workflow and there is no fix for it right now
Ref: EnricoMi/publish-unit-test-result-action#12
Also Playwright tests have the same triggers as Tests, so no need to
keep it separate.

Author: ramki-bruno

.github/workflows/playwright.yml

@@ -91,5 +91,42 @@ jobs:
         uses: EnricoMi/publish-unit-test-result-action@v2
         if: always()
         with:
+          check_name: CLI Test Results
           files: packages/bruno-tests/collection/junit.xml
           comment_mode: always
+  e2e-test:
+    timeout-minutes: 60
+    runs-on: ubuntu-24.04
+    steps:
+    - uses: actions/checkout@v4
+    - uses: actions/setup-node@v4
+      with:
+        node-version: v22.11.x
+    - name: Install dependencies
+      run: |
+        sudo apt-get update
+        sudo apt-get --no-install-recommends install -y \
+          libglib2.0-0 libnss3 libdbus-1-3 libatk1.0-0 libatk-bridge2.0-0 libcups2 libgtk-3-0 libasound2t64 \
+          xvfb
+        npm ci --legacy-peer-deps
+        sudo chown root /home/runner/work/bruno/bruno/node_modules/electron/dist/chrome-sandbox
+        sudo chmod 4755 /home/runner/work/bruno/bruno/node_modules/electron/dist/chrome-sandbox
+
+    - name: Build libraries
+      run: |
+        npm run build:graphql-docs
+        npm run build:bruno-query
+        npm run build:bruno-common
+        npm run sandbox:bundle-libraries --workspace=packages/bruno-js
+        npm run build:bruno-converters
+        npm run build:bruno-requests
+
+    - name: Run Playwright tests
+      run: |
+        xvfb-run npm run test:e2e
+    - uses: actions/upload-artifact@v4
+      if: ${{ !cancelled() }}
+      with:
+        name: playwright-report
+        path: playwright-report/
+        retention-days: 30