chore(deps): update playwright monorepo to v1.51.0

Author: renovate[bot]

package.json

@@ -34,7 +34,7 @@
   "devDependencies": {
     "@biomejs/biome": "1.9.4",
     "@changesets/cli": "^2.28.1",
-    "@playwright/test": "1.47.2",
+    "@playwright/test": "1.51.0",
     "@rspress/config": "workspace:*",
     "@types/cross-spawn": "^6.0.6",
     "@types/node": "^18.11.17",
@@ -48,7 +48,7 @@
     "lint-staged": "~15.4.3",
     "nx": "20.4.6",
     "path-serializer": "0.3.4",
-    "playwright": "1.47.2",
+    "playwright": "1.51.0",
     "prettier": "3.4.2",
     "prettier-plugin-packagejson": "^2.5.10",
     "tree-kill": "^1.2.2",