Add publish_bumped_packages in GHA

Summary:
This change introduce the publish_bumped_packages job in GHA as this job was not ported before.

This is a porting of [this workflow](https://github.com/facebook/react-native/blob/main/.circleci/configurations/workflows.yml#L128-L135), which calls the [`find_and_publish_bumped_packages`](https://github.com/facebook/react-native/blob/main/.circleci/configurations/jobs.yml#L1278-L1289) which uses the [`build_packages`](https://github.com/facebook/react-native/blob/main/.circleci/configurations/commands.yml#L100-L104) command

## Changelog:
[Internal] - Add the `publish_bumped_packages` to GHA

Reviewed By: huntie

Differential Revision: D58016209

fbshipit-source-id: 3c8cf7bc50eeaf11b00850fc2251183b12b18d20