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Bump the elixir group with 3 updates

Bumps the elixir group with 3 updates: [phoenix](https://github.com/phoenixframework/phoenix), [phx_new](https://github.com/phoenixframework/phoenix) and [styler](https://github.com/adobe/elixir-styler).


Updates `phoenix` from 1.8.9 to 1.8.13
- [Release notes](https://github.com/phoenixframework/phoenix/releases)
- [Changelog](https://github.com/phoenixframework/phoenix/blob/v1.8.13/CHANGELOG.md)
- [Commits](https://github.com/phoenixframework/phoenix/compare/v1.8.9...v1.8.13)

Updates `phx_new` from 1.8.9 to 1.8.13
- [Release notes](https://github.com/phoenixframework/phoenix/releases)
- [Changelog](https://github.com/phoenixframework/phoenix/blob/v1.8.13/CHANGELOG.md)
- [Commits](https://github.com/phoenixframework/phoenix/compare/v1.8.9...v1.8.13)

Updates `styler` from 1.12.0 to 1.12.2
- [Release notes](https://github.com/adobe/elixir-styler/releases)
- [Changelog](https://github.com/adobe/elixir-styler/blob/main/CHANGELOG.md)
- [Commits](https://github.com/adobe/elixir-styler/compare/v1.12.0...v1.12.2)

---
updated-dependencies:
- dependency-name: phoenix
  dependency-version: 1.8.13
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: elixir
- dependency-name: phx_new
  dependency-version: 1.8.13
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: elixir
- dependency-name: styler
  dependency-version: 1.12.2
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: elixir
...

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