I would think use “forgefriends” first and foremost for the community, the project website and code forge organization. Then in additional to that decide if a “ForgeFriends FedeProxy” technical component makes sense for which you might keep fedeproxy.eu around, along with lower-level infra and other technical stuff (e.g. testsuite.fedeproxy.eu or something).
Before investigating the change it may help to draft an intuitive ‘orgchart’ of the entire initiative.