Bump next from 14.1.0 to 16.1.3

Bumps [next](https://github.com/vercel/next.js) from 14.1.0 to 16.1.3.
- [Release notes](https://github.com/vercel/next.js/releases)
- [Changelog](https://github.com/vercel/next.js/blob/canary/release.js)
- [Commits](vercel/next.js@v14.1.0...v16.1.3)

---
updated-dependencies:
- dependency-name: next
  dependency-version: 16.1.3
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

apps/docs/package.json

@@ -10,7 +10,7 @@
   },
   "dependencies": {
     "@agent-patterns/core": "workspace:*",
-    "next": "14.1.0",
+    "next": "16.1.3",
     "react": "^18.2.0",
     "react-dom": "^18.2.0"
   },

apps/playground/package.json

@@ -17,7 +17,7 @@
     "@agent-patterns/thinking-indicator": "workspace:*",
     "@agent-patterns/insights-list": "workspace:*",
     "@agent-patterns/detail-card": "workspace:*",
-    "next": "14.1.0",
+    "next": "16.1.3",
     "react": "^18.2.0",
     "react-dom": "^18.2.0",
     "zod": "^3.22.4"