Consider the following premises. There is at least one y for which if y were a soldier, then y is a musician. For all y, y is rich or y will not make tea. For all y, if y plays a game, then y is a soldier. For all y, if y were rich, then y is playing a game. Can we infer the following from them? If we can, name the inference rule being used: For all y, the fact that y makes tea does not imply that y is a musician.
That contradicts the premises. Therefore the answer is no.