Another Card Game Problem

Chef is playing a card game with his friend Rick Sanchez. He recently won against Rick's grandson Morty; however, Rick is not as easy to beat. The rules of this game are as follows: - The *power* of a positive integer is the sum of digits of that integer. For example, the power of $13$ is $1+3 = 4$. - Chef and Rick receive randomly generated positive integers. For each player, let's call the int