The rules of being a genie, however, prevented the new Liz from granting more than three wishes to her new Master. She would still be able to be subservient to him, but only to a point. Anything she did for him that required magic would be considered as one of the "wishes". And when the three wishes were used up, she could no longer use her genie magic ... for Ty. But being a genie, she could always give three wishes to someone else, as long as that someone else rubbed her lamp.
Ty (who used to be the original Lizzy Powers) didn't know any of this. He thought that he had infinite wishes, but he was wrong. He was only going to get three.
Thinking that he had infinite wishes, Ty made his first wish.