Bump next in /next-app in the npm_and_yarn group across 1 directory

Bumps the npm_and_yarn group with 1 update in the /next-app directory: [next](https://github.com/vercel/next.js).


Updates `next` from 14.2.35 to 16.1.5
- [Release notes](https://github.com/vercel/next.js/releases)
- [Changelog](https://github.com/vercel/next.js/blob/canary/release.js)
- [Commits](vercel/next.js@v14.2.35...v16.1.5)

---
updated-dependencies:
- dependency-name: next
  dependency-version: 16.1.5
  dependency-type: direct:production
  dependency-group: npm_and_yarn
...

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

Author: dependabot[bot]

next-app/package.json

@@ -11,7 +11,7 @@
     "test:watch": "vitest"
   },
   "dependencies": {
-    "next": "14.2.35",
+    "next": "16.1.5",
     "react": "18.3.1",
     "react-dom": "18.3.1",
     "zustand": "4.5.2",