Fix GitHub Version Check

[MattEqualsCoder]

Sometime over the past year, GitHub seemed to implement rate limits on the public API that we use to get the current build's version number. For some reason this even impacts their action runner machines.

We should be able to use the GITHUB_TOKEN value to call the API and avoid this: https://docs.github.com/en/actions/security-for-github-actions/security-guides/automatic-token-authentication#example-2-calling-the-rest-api