Chemi-Clean will make it go away temporarily at least. Be sure to run an air stone in the tank while using it and do the recommended water change. The cyano can kill corals if left untreated. Best to eliminate it if you can.
BTW, my CBB eats PE Mysis and frozen green mussels on the half shell. I give him a treat of live black mussels from HEB every once in a while.
Custom Acrylic 180g RR, acrylic sump, 45BR frag tank, 18g fuge, 250+/- lbs LR, Euro Reef CS8-2, 10x39W T5, softies, LPS, and a few SPS.