build(deps): bump axios and start-server-and-test in /vue-client

Bumps [axios](https://github.com/axios/axios) to 1.6.5 and updates ancestor dependency [start-server-and-test](https://github.com/bahmutov/start-server-and-test). These dependencies need to be updated together.


Updates `axios` from 0.21.4 to 1.6.5
- [Release notes](https://github.com/axios/axios/releases)
- [Changelog](https://github.com/axios/axios/blob/v1.x/CHANGELOG.md)
- [Commits](axios/axios@v0.21.4...v1.6.5)

Updates `start-server-and-test` from 1.14.0 to 2.0.3
- [Release notes](https://github.com/bahmutov/start-server-and-test/releases)
- [Commits](bahmutov/start-server-and-test@v1.14.0...v2.0.3)

---
updated-dependencies:
- dependency-name: axios
  dependency-type: indirect
- dependency-name: start-server-and-test
  dependency-type: direct:development
...

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