You're wrong about it being 100% luck (you have choices that alter the outcomes). You're correct that the game cannot be solved by the definition of a solved g

You're wrong about it being 100% luck (you have choices that alter the outcomes). You're correct that the game cannot be solved by the definition of a solved game (being one where the outcome can be predicted from any position if both players play perfectly). https://en.wikipedia.org/wiki/Solved_game https://en.wikipedia.org/wiki/Solved_game