Is your org entirely FOSS code, with literally nothing private/proprietary? Because if not, Codeberg was never going to be a good option for you, it only allows FOSS (and not even all licenses IIRC).

Codefloe is a Forgejo instance that, AFAIK, hasn’t decided to make any decisions on which technologies are allowed, and also allows private projects in addition to FOSS. Are they trustworthy? No idea, but if you want to be sure everything is private, you have to host your own shit anyway. Which most of us don’t have time for.