Over 4000 hours on the mighty triple seven and I can tell you that if I'd heard a loud bang with yaw then seen lots of status messages related to the same Engine then I most certainly would RTB all things considerered.
For gods sake it's a TWIN.
In my experience with the 777 if the CMC/ACMS told you something was wrong it usually was......unlike the AB.
We are not TEST PILOTS people and our Passengers deserve our good judgement and experience and this doesn't include RISK TAKING.