Yes, Gitea is a hard-fork of Gogs and started years ago. Forgejo is a soft-fork of Gitea when the primary authors of Gitea created a company of the same name to provide paid support (there’s history there you can look up) but Gitea remains free and open source. Forgejo, supported by Codeberg, is a community fork and will upstream to Gitea.
Gitea/Forgejo is a great option, they recently even added build actions which are compatible with Github Actions.