Mystic
Mystics, increase mutation chances, help with morale and loyalty, and...well, get pets into the mood. Their magical mixtures are able to do quite a number of things, and slightly better than the classes that provide similar bonuses.
Mystic class replaces prince, princess, king, queen, and alchemist.
The Diagnostic Tool shows that Mystics (flutters) provide a morale and loyalty bonus equivalent to their tier (M+Tier/L+Tier).