Replace sh scripts with tested JS scripts to release template (#46363)

Summary:
The previous scripts to trigger the react-native-communty/template
release workflow has not been working. This is a rewrite is js, along
with some testing to make this more robust.

I've have a PR to combine the publish and tag steps in the template publication: https://github.com/react-native-community/template/pull/65, this takes advantage of that change.

Changelog: [Internal]

Pull Request resolved: https://github.com/facebook/react-native/pull/46363

Test Plan:
1. Unit tests
2. Once the infrastructure lands in the `react-native-community/template` workflow, we can trigger a dry run.

## TODO:
- ~~Still needs to be used in the GH release workflow.~~
- ~~Template release workflow needs to land the dry_run input change.~~

## Changelog: [Internal]

Reviewed By: cipolleschi

Differential Revision: D62296008

Pulled By: blakef

fbshipit-source-id: 217326c44b1d820e36a1d847cf9ad24d228087c1