Codeberg is a free/nonprofit hosted instance of Forgeo. Forgeo is a fork of Gitea created by Codeberg about a year ago when the governance of Gitea changed suddenly.
You can selfhost either Forgeo or Gitea.
There are other hosted instances of forgeo and gitea also available.
Gitlab is a hosted instance if gitlab.
You can also self host gitlab.
I assume there are other hosted instances of gitlab tho i cant think of any off the top of my head.