Gogs and gitea are designed to be a single-binary minimal source code hosting service. Additional services like CI within that binary is likely to bloat it up and make it less reliable. However, it's easy to integrate a CI service to it - like Woodpecker CI [1]. Woodpecker also has a minimalist approach like gogs. If you instead prefer a full package, then gitlab is the best solution.

[1] https://woodpecker-ci.org/docs/administration/vcs/gogs