build(deps): bump vue from 3.5.12 to 3.5.13 in /vue-example (#1519)

Bumps [vue](https://github.com/vuejs/core) from 3.5.12 to 3.5.13.
- [Release notes](https://github.com/vuejs/core/releases)
- [Changelog](https://github.com/vuejs/core/blob/main/CHANGELOG.md)
- [Commits](vuejs/core@v3.5.12...v3.5.13)

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

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