After reading this tutorial about how to mirror a Gitea repository to other Git hosting services like GitHub, I decided to follow a new strategy regarding my projects. I will use my main Gitea instance for all my public repositories and then mirror them on Codeberg and GitHub. I will also migrate projects from GitHub and Codeberg to my Gitea instance and replace the repos with mirrors. The first repo is this one with a mirror on Codeberg and a second mirror on GitHub.
This method gives me full control over my projects and I can create new mirrors or remove old mirrors at any time and I am not dependent on any service.