⬆️ Bump the formatter group across 1 directory with 8 updates

Bumps the formatter group with 7 updates in the /client directory:

| Package | From | To |
| --- | --- | --- |
| [@rushstack/eslint-patch](https://github.com/microsoft/rushstack/tree/HEAD/eslint/eslint-patch) | `1.3.2` | `1.10.4` |
| [@typescript-eslint/eslint-plugin](https://github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/eslint-plugin) | `5.62.0` | `8.17.0` |
| [@typescript-eslint/parser](https://github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/parser) | `5.62.0` | `8.17.0` |
| [@vue/eslint-config-prettier](https://github.com/vuejs/eslint-config-prettier) | `7.1.0` | `10.1.0` |
| [@vue/eslint-config-typescript](https://github.com/vuejs/eslint-config-typescript) | `13.0.0` | `14.1.4` |
| [eslint](https://github.com/eslint/eslint) | `8.57.0` | `9.16.0` |
| [prettier](https://github.com/prettier/prettier) | `3.2.5` | `3.4.2` |



Updates `@rushstack/eslint-patch` from 1.3.2 to 1.10.4
- [Changelog](https://github.com/microsoft/rushstack/blob/main/eslint/eslint-patch/CHANGELOG.md)
- [Commits](https://github.com/microsoft/rushstack/commits/@rushstack/eslint-patch_v1.10.4/eslint/eslint-patch)

Updates `@typescript-eslint/eslint-plugin` from 5.62.0 to 8.17.0
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/eslint-plugin/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.17.0/packages/eslint-plugin)

Updates `@typescript-eslint/parser` from 5.62.0 to 8.17.0
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/parser/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.17.0/packages/parser)

Updates `@vue/eslint-config-prettier` from 7.1.0 to 10.1.0
- [Release notes](https://github.com/vuejs/eslint-config-prettier/releases)
- [Changelog](https://github.com/vuejs/eslint-config-prettier/blob/main/CHANGELOG.md)
- [Commits](vuejs/eslint-config-prettier@v7.1.0...v10.1.0)

Updates `@vue/eslint-config-typescript` from 13.0.0 to 14.1.4
- [Release notes](https://github.com/vuejs/eslint-config-typescript/releases)
- [Commits](vuejs/eslint-config-typescript@v13.0.0...v14.1.4)

Updates `eslint` from 8.57.0 to 9.16.0
- [Release notes](https://github.com/eslint/eslint/releases)
- [Changelog](https://github.com/eslint/eslint/blob/main/CHANGELOG.md)
- [Commits](eslint/eslint@v8.57.0...v9.16.0)

Updates `eslint-plugin-vue` from 9.26.0 to 9.32.0
- [Release notes](https://github.com/vuejs/eslint-plugin-vue/releases)
- [Commits](vuejs/eslint-plugin-vue@v9.26.0...v9.32.0)

Updates `prettier` from 3.2.5 to 3.4.2
- [Release notes](https://github.com/prettier/prettier/releases)
- [Changelog](https://github.com/prettier/prettier/blob/main/CHANGELOG.md)
- [Commits](prettier/prettier@3.2.5...3.4.2)

---
updated-dependencies:
- dependency-name: "@rushstack/eslint-patch"
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: formatter
- dependency-name: "@typescript-eslint/eslint-plugin"
  dependency-type: direct:development
  update-type: version-update:semver-major
  dependency-group: formatter
- dependency-name: "@typescript-eslint/parser"
  dependency-type: direct:development
  update-type: version-update:semver-major
  dependency-group: formatter
- dependency-name: "@vue/eslint-config-prettier"
  dependency-type: direct:development
  update-type: version-update:semver-major
  dependency-group: formatter
- dependency-name: "@vue/eslint-config-typescript"
  dependency-type: direct:development
  update-type: version-update:semver-major
  dependency-group: formatter
- dependency-name: eslint
  dependency-type: direct:development
  update-type: version-update:semver-major
  dependency-group: formatter
- dependency-name: eslint-plugin-vue
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: formatter
- dependency-name: prettier
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: formatter
...

Signed-off-by: dependabot[bot] <[email protected]>