Bridge is not even a robust single-user DAM solution, let alone a multi-user one.
Bridge is just an image and file browser, nothing more and nothing less. It has evolved only modestly since its humble beginnings as Photoshop's File Browser.
Its weaknesses have been discussed here at length. Just do a forum search on Digital Asset Management or Manager and you'll find plenty of exiting threads. Without exception, every single user who approaches Bridge in this fashion becomes disappointed very, very quickly.
The existing threads have suggestions for true, alternative DAMs like Cumulus Canto and others.