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Bump github.com/go-chi/chi/v5 from 5.2.1 to 5.2.2 in /_example

Bumps [github.com/go-chi/chi/v5](https://github.com/go-chi/chi) from 5.2.1 to 5.2.2.
- [Release notes](https://github.com/go-chi/chi/releases)
- [Changelog](https://github.com/go-chi/chi/blob/master/CHANGELOG.md)
- [Commits](https://github.com/go-chi/chi/compare/v5.2.1...v5.2.2)

---
updated-dependencies:
- dependency-name: github.com/go-chi/chi/v5
  dependency-version: 5.2.2
  dependency-type: direct:production
...

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