You may want to find out if the CB is Wild (Very Doubtful), tank raised, captive breed. If it is wild then you will need to give it lots of algae filled LR, or suppliment it with other forms of algae/seaweed, such as nori.
If it is captive breed or tank raised then the diet your planning will do just fine. I feed mine Frozen Formula 1, Frozen Brine with Spinula, and once a week i put some nori in the tank but he really doesnt take to the nori much.