Coral beauty yellow tang

I am putting my new black banded shark in my 180 gallon but I used my coral beauty to test it out. He's been in there for 3 months and I'm moving him in to my 36 gal with4 green Cronus and a large yellow tang. Should I move the yellow tang in with the shark or just move the coral beauty. My initial question is would a yellow tang be compatible with coral beauty