Bea spars with a Machamp, whose punches can send foes across the horizon and move mountains with a single arm. By associative property, she won't embarrass herself.

Probably not, because it was a training session, but it was notably a session for the Machamp rather than for her. In the episode where this is taking place, she is exercising along with her Pokemon, leading them in a jog, doing pushups with a back covered in boulders, etc. All of which implies that even if she has to give it her all to keep up, she is still capable of keeping up.