What is the Copperbanded eating in your tank now? If it gets used to eating the frozen brine shrimp (which I've been told is nutritionally like feeding potato chips) it won't have much incentive for going after aptasia.
My CBB didn't take to frozen food right away, but did clean out the aptasia. It then took some coaxing for it to eat mysis shrimp (nutritionally excellent).
It may not take starving it, but I would hold off the frozen brine and see what it does.
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Alan
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