chore: roll Playwright to 1.60.0-alpha-1777669338000 (#1591)

## Summary
- Roll Playwright to 1.60.0-alpha-1777669338000

Author: yury-s

package-lock.json

@@ -37,12 +37,12 @@
     }
   },
   "dependencies": {
-    "playwright": "1.60.0-alpha-1777566615000",
-    "playwright-core": "1.60.0-alpha-1777566615000"
+    "playwright": "1.60.0-alpha-1777669338000",
+    "playwright-core": "1.60.0-alpha-1777669338000"
   },
   "devDependencies": {
     "@modelcontextprotocol/sdk": "^1.25.2",
-    "@playwright/test": "1.60.0-alpha-1777566615000",
+    "@playwright/test": "1.60.0-alpha-1777669338000",
     "@types/node": "^24.3.0"
   },
   "bin": {