chore(deps): bump axios in /5-browser-extension/start

Bumps [axios](https://github.com/axios/axios) from 1.12.0 to 1.13.5.
- [Release notes](https://github.com/axios/axios/releases)
- [Changelog](https://github.com/axios/axios/blob/v1.x/CHANGELOG.md)
- [Commits](https://github.com/axios/axios/compare/v1.12.0...v1.13.5)

---
updated-dependencies:
- dependency-name: axios
  dependency-version: 1.13.5
  dependency-type: direct:production
...

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