Not sure if it’s even possible though in current enterprise/governmental structures :(
Yeah… sadly, it’s already difficult enough getting governments to even agree that internet infrastructure itself should be a public utility. Even though it has long been at the point where you absolutely need it to participate in society (depending on where you live, of course) and largely been funded by the public through taxes.
If both Caddy and Forgejo are running in Docker containers you could do SSH Container Passthrough.
Link is to Gitea docs but should work fine with Forgejo.