I can not see a clear message/text on github documentation regarding the Github actions plan if i am using self-runner. If free if i use self-runner or i have 2000 min/month n case for free plan?
See About billing for GitHub Actions (emphasis added):
GitHub Actions usage is free for both public repositories and self-hosted runners.
Makes sense if you ask me, after all with self-hosted runners you’re the one who has to pay for the runner infrastructure.
Yes, they are free, with not quota limitation. Just talked with Support Team.