Stop moving it bud. Anemones can move themselves to higher and lower light if they need it. From what I've heard most sick ones prefer a little less light.Update, the BTA is still alive. I moved him onto some high rocks nearer the light and he seems happier. But he is still really sickly looking. He really is not eating well at all. Hoping I can bring him back and not lose him.
How long has your tank been established?