BAU: Bump the dev-dependencies group across 1 directory with 4 updates

Bumps the dev-dependencies group with 4 updates in the /post-deploy-tests directory: [@types/jest](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/HEAD/types/jest), [@types/node](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/HEAD/types/node), [puppeteer](https://github.com/puppeteer/puppeteer) and [typescript](https://github.com/microsoft/TypeScript).


Updates `@types/jest` from 29.5.12 to 29.5.13
- [Release notes](https://github.com/DefinitelyTyped/DefinitelyTyped/releases)
- [Commits](https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/jest)

Updates `@types/node` from 22.5.1 to 22.5.5
- [Release notes](https://github.com/DefinitelyTyped/DefinitelyTyped/releases)
- [Commits](https://github.com/DefinitelyTyped/DefinitelyTyped/commits/HEAD/types/node)

Updates `puppeteer` from 23.2.1 to 23.4.0
- [Release notes](https://github.com/puppeteer/puppeteer/releases)
- [Changelog](https://github.com/puppeteer/puppeteer/blob/main/release-please-config.json)
- [Commits](puppeteer/puppeteer@puppeteer-v23.2.1...puppeteer-v23.4.0)

Updates `typescript` from 5.5.4 to 5.6.2
- [Release notes](https://github.com/microsoft/TypeScript/releases)
- [Changelog](https://github.com/microsoft/TypeScript/blob/main/azure-pipelines.release.yml)
- [Commits](microsoft/TypeScript@v5.5.4...v5.6.2)

---
updated-dependencies:
- dependency-name: "@types/jest"
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: dev-dependencies
- dependency-name: "@types/node"
  dependency-type: direct:development
  update-type: version-update:semver-patch
  dependency-group: dev-dependencies
- dependency-name: puppeteer
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: dev-dependencies
- dependency-name: typescript
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: dev-dependencies
...

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