fix(repo): Update TypeScript to v5 for Next.js 15 compatibility in playground (#6591)

Author: LauraBeatris

playground/nextjs/package.json

@@ -21,8 +21,8 @@
     "@types/node": "18.8.3",
     "@types/react": "19.1.10",
     "@types/react-dom": "19.1.7",
-    "eslint": "8.24.0",
-    "eslint-config-next": "12.3.1",
-    "typescript": "4.8.4"
+    "eslint": "9.31.0",
+    "eslint-config-next": "15.5.0",
+    "typescript": "5.8.3"
   }
 }