You mean Gitea [0], a community-driven fork is Forgejo. There was some drama, have to admit is still don't really understand it (ask an llm I'd say). Codeberg [2] uses Forgejo and offers it as a hosted service.
That's what I said, but indeed in a very bad way :)
No, it's not what you said.
Gitea is a fork of Gogs.
Forgejo is a fork of Gitea.
Codeberg folks forked Gitea to create forgejo.
"Forgejo was created in October 2022 after a for profit company took over the Gitea project. It exists under the umbrella of a non-profit organization, Codeberg e.V. and is developed in the interest of the general public."