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It sounds like you have a good pop. of natural food supply (the pods) for the mandarinfish.
I don't personally know of a fish that eats the stars.
If the star population is great, it may indicate an overabundance of algae. You can reduce the lighting cycle.
I have often wondered, with the eye design of the mandarinfish, just how much light they are used to, as a rule. Not much, would be my guess.
What lighting cycle do you use on the fuge?