chore(deps-dev): bump next from 15.5.9 to 16.1.3 in /packages/next

Bumps [next](https://github.com/vercel/next.js) from 15.5.9 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@v15.5.9...v16.1.3)

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

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

Author: dependabot[bot]

packages/next/package.json

@@ -61,7 +61,7 @@
     "@types/node": "^22.19.3",
     "@types/react": "^19.2.7",
     "@types/react-dom": "^19.2.3",
-    "next": "^15.0.0",
+    "next": "^16.1.3",
     "react": "^19.2.3",
     "react-dom": "^19.2.3",
     "tsdown": "^0.11.9",