build(deps): bump vue in /vue-example in the patch-dependencies group (#1922)

Bumps the patch-dependencies group in /vue-example with 1 update: [vue](https://github.com/vuejs/core).


Updates `vue` from 3.5.15 to 3.5.16
- [Release notes](https://github.com/vuejs/core/releases)
- [Changelog](https://github.com/vuejs/core/blob/main/CHANGELOG.md)
- [Commits](vuejs/core@v3.5.15...v3.5.16)

---
updated-dependencies:
- dependency-name: vue
  dependency-version: 3.5.16
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patch-dependencies
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]