🚀. Publish to GitHub Nuget Registry in Release Workflow

### Is there an existing issue for this?

- [X] I have searched the existing issues

### Suggestion

Add the nuget package to be released on GitHub in addition to Nuget.org. This should be added to the release workflow. This could likely be done with an action just following the nuget publish.

The step should follow this step in the release:
https://github.com/microsoft/electionguard-cpp/blob/99788bc9fb76ee2293e9b131965b91b85ba6fee3/.github/workflows/release.yml#L135-L137

Helpful Docs:
https://docs.github.com/en/packages/working-with-a-github-packages-registry/working-with-the-nuget-registry

### Possible Implementation

_No response_

### Anything else?

_No response_