In large tanks i have seen these fish correspond together, the key is to provide the tank already with anemones compatible with both types of clowns, then you must introduce the clowns at the sametime, and in them first few days, the clowns make their territory and the other one would stay away.
as for the anemone, it doesn't look dyed, but i can't really see the picture, try to get one that isn't blurry.