This is a parent issue of few otheres. Look at the "Sub-issues" section. Now it's blocked by #4882

This issue is needed to help us to investigate and fix #3842, #3482, #3567, and also slack-dec, slack-jan

In order to review and merge faster I'm doing it in separate subtasks.

1. Provide token type, and maybe scopes, to the Authentication error, so when it happen it's easier for us to reproduce
2. Remove the flow of forcing to create VSCode's GitHub authentication.
3. Improve authorization of GitHubGitProvider. It should stop forcing to create VSCode's GitHub authentication.