Change usage of 'next' version of @react-native-community/template and react-native packages to specific react-native version

[Yajur-Grover]

Summary

Due to Meta moving the template package outside the react-native repo and into the @react-native-community/template package, there is no matching nightly version for the new template package for react-native@0.75.0-nightly-20240618-5df5ed1a8, which is breaking the current 6/18 integration. In order to unblock the integration, the scripts that run the react-native init command have been modified to use the next version of the @react-native-community/template package, as that is the only one with a matching react-native version.

This PR adds a job that will publish a nightly build to the @react-native-community/template package every time a new react-native package is published. Once the react-native-windows repo is integrated up to a date that has a matching react-native and @react-native-community/template nightly build, we will revert the usage of 'next' to the current react-native version being used in the repo.

Additionally, a similar change had to be made in the react-native-windows-init.yml file to use the next version of the react-native package instead of the 6/18 nightly build when running the create-react-native-library init script. Once we have integrated to the point that the nightly build works with the new template package, we should revert this change.

Forks made:
5e9e7e3
e534281

Motivation

Unblock CI to allow jobs with react-native init to run successfully.

Basic Example

No response

Open Questions

No response

[Yajur-Grover]

From the NPM page of the react-native package, the earliest nightly version of @react-native-community/template that should allow this change to be reverted is the 7/16, however after that version, there is no nightly version till 8/7: https://www.npmjs.com/package/@react-native-community/template?activeTab=versions