Bump next from 11.1.3 to 12.1.0 in /example

Bumps [next](https://github.com/vercel/next.js) from 11.1.3 to 12.1.0.
- [Release notes](https://github.com/vercel/next.js/releases)
- [Changelog](https://github.com/vercel/next.js/blob/canary/release.js)
- [Commits](vercel/next.js@v11.1.3...v12.1.0)

---
updated-dependencies:
- dependency-name: next
  dependency-type: direct:production
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

example/package.json

@@ -9,7 +9,7 @@
     "lint": "next lint"
   },
   "dependencies": {
-    "next": "11.1.3",
+    "next": "12.1.0",
     "nextjs-color-mode": "^1.0.3",
     "react": "17.0.2",
     "react-dom": "17.0.2"