Github Authentication issues

[yelizariev]

Version of the Action
v2.x.x

Describe the bug
The current implementation doesn't allow us to push a commit to repo branch in a way that triggers updating Github Pages content.

Potentially related issue is described here: #26 (comment), but let's focus on Github Pages first

To Reproduce

I played with it here: https://github.com/it-projects-llc/shhvshhshhshh-rukovodstvo-polzovatelia/blob/13.0/.github/workflows/rebuild.yml

Additional context
#26 (comment)

[yelizariev]

With regards to #26 (comment)

I'm open to change how the authentication works.
Which version do you prefer now?

Version A:

https://${process.env.GITHUB_ACTOR}:${GITHUB_TOKEN}@github.com/${process.env.GITHUB_REPOSITORY}.git
Version B:

https://${GH_PAT:-"x-access-token:$GITHUB_TOKEN"}@github.com/${GITHUB_REPOSITORY}.git

It seems that GITHUB_ACTOR is ignored by Github anyway, so the Version B looks cleaner

[stefanzweifel]

Closed as #36 has been merged into the v3 branch. GitHub authentication is now handled by actions/checkout@v2.