feat: 🎸 Update playwright to newest version (#3290)

* feat: 🎸 Update playwright to newest version

* fix: 🐛 Fix cache dependency key

e2e-tests/package.json

@@ -33,7 +33,7 @@
     "@babel/eslint-parser": "^7.21.3",
     "@eslint/js": "^9.18.0",
     "@openapitools/openapi-generator-cli": "^2.32.0",
-    "@playwright/test": "^1.56.1",
+    "@playwright/test": "^1.60.0",
     "concurrently": "^9.1.0",
     "dotenv": "^16.4.5",
     "eslint": "^9.18.0",