My own Forgejo server exists now: https://code.haverbeke.berlin/ . I've started by migrating some minor projects, as a test. The idea is that it will eventually hold all of the repositories I maintain on my own.
code.haverbeke.berlin

Forgejo is a self-hosted lightweight software forge. Easy to install and low maintenance, it just does the job.

code.haverbeke.berlin
Now that I have most of the stuff that I need working I can say that Forgejo is a joy to work with. It supports everything I've needed so far, and page loads are *fast* compared to what we've gotten used to from GitHub. Also the people in the Matrix channel have been super helpful.