Move the Publish Release workflow to GHA (#44868)

Summary:
This change moves the Publish release workflow to GHA

## Changelog:
[Internal] - Move the Publish Release workflow to GHA

Pull Request resolved: https://github.com/facebook/react-native/pull/44868

Test Plan: GHA is green

Reviewed By: cortinico, huntie

Differential Revision: D58406352

Pulled By: cipolleschi

fbshipit-source-id: 99fb1df16aeffa9d48bb4ed409847c6ac4892a82