Since it was possible that the main villain of this world could be the cat, Kyle and Tyler were anxious about the storyline. In the original world, the cat was supposed to live with the male and the female leads, creating hindrances in their relationship.
But since Sato Yui's cat would become the villain, it would be impossible to follow the arc. And in that case, things might even end up falling apart like in the first world.
So the male lead came up with an excellent excuse to solve this issue. Since he was a piano expert, he would participate in the music competition, and he would use that as an excuse to take the female lead and her cat away with them. And since the national level competition would be in the capital city, they would be living in the hotel.
So it can get easier for that new cat to act like a villain.