ci: add merge queue support for status checks

.github/workflows/playwright.yml

@@ -1,9 +1,12 @@
 name: Playwright Tests
 on:
   push:
-    branches: [main, master]
+    branches: [main]
   pull_request:
-    branches: [main, master]
+    branches: [main]
+  merge_group:
+    types: [checks_requested]
+
 jobs:
   test:
     timeout-minutes: 60

.github/workflows/pr.yml

@@ -1,6 +1,8 @@
 name: Code quality verification
 
 on:
+  merge_group:
+    types: [checks_requested]
   pull_request:
     types:
       - "opened"
@@ -9,6 +11,7 @@ on:
 jobs:
   format:
     runs-on: ubuntu-latest
+    if: "${{ github.event_name == 'pull_request' }}"
     permissions:
       contents: write