build(deps): bump axios from 1.12.2 to 1.13.5 in /examples/vite

Bumps [axios](https://github.com/axios/axios) from 1.12.2 to 1.13.5.
- [Release notes](https://github.com/axios/axios/releases)
- [Changelog](https://github.com/axios/axios/blob/v1.x/CHANGELOG.md)
- [Commits](axios/axios@v1.12.2...v1.13.5)

---
updated-dependencies:
- dependency-name: axios
  dependency-version: 1.13.5
  dependency-type: indirect
...

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

Author: dependabot[bot]