Bump the npm-production group across 1 directory with 3 updates

Bumps the npm-production group with 3 updates in the / directory: [next](https://github.com/vercel/next.js), [react](https://github.com/facebook/react/tree/HEAD/packages/react) and [react-dom](https://github.com/facebook/react/tree/HEAD/packages/react-dom).


Updates `next` from 16.0.7 to 16.0.10
- [Release notes](https://github.com/vercel/next.js/releases)
- [Changelog](https://github.com/vercel/next.js/blob/canary/release.js)
- [Commits](vercel/next.js@v16.0.7...v16.0.10)

Updates `react` from 19.2.0 to 19.2.3
- [Release notes](https://github.com/facebook/react/releases)
- [Changelog](https://github.com/facebook/react/blob/main/CHANGELOG.md)
- [Commits](https://github.com/facebook/react/commits/v19.2.3/packages/react)

Updates `react-dom` from 19.2.0 to 19.2.3
- [Release notes](https://github.com/facebook/react/releases)
- [Changelog](https://github.com/facebook/react/blob/main/CHANGELOG.md)
- [Commits](https://github.com/facebook/react/commits/v19.2.3/packages/react-dom)

---
updated-dependencies:
- dependency-name: next
  dependency-version: 16.0.10
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: npm-production
- dependency-name: react
  dependency-version: 19.2.3
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: npm-production
- dependency-name: react-dom
  dependency-version: 19.2.3
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: npm-production
...

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

Author: dependabot[bot]

package-lock.json

@@ -22,9 +22,9 @@
     "@react-three/fiber": "^9.4.2",
     "@turn-based-mcp/shared": "file:../shared",
     "clsx": "^2.1.0",
-    "next": "^16.0.7",
-    "react": "^19.1.1",
-    "react-dom": "^19.2.0",
+    "next": "^16.0.10",
+    "react": "^19.2.3",
+    "react-dom": "^19.2.3",
     "sqlite3": "^5.1.7",
     "tailwind-merge": "^3.3.1",
     "three": "^0.181.2"