refactor: update types to use the exposed page type from stagehand 3.0.2

Author: Kylejeong2

package.json

@@ -46,7 +46,7 @@
   },
   "dependencies": {
     "@browserbasehq/sdk": "^2.6.0",
-    "@browserbasehq/stagehand": "^3.0.1",
+    "@browserbasehq/stagehand": "^3.0.2",
     "@mcp-ui/server": "^5.10.0",
     "@modelcontextprotocol/sdk": "^1.13.1",
     "commander": "^14.0.0",
@@ -57,6 +57,7 @@
     "@changesets/cli": "^2.29.6",
     "@eslint/js": "^9.29.0",
     "@smithery/cli": "^1.2.15",
+    "@types/node": "^24.10.1",
     "chalk": "^5.3.0",
     "eslint": "^9.29.0",
     "eslint-plugin-react": "^7.37.5",