Pickleball shoes recommendation help

First, does it needed? I am using running shoes, but I hear that picleball has more lateral movement. Asics or Mizuno? I usually use those two brands for running shoes. Do they also make good picleball shoes? Last, in running shoes, they are divided into pronation and supination. But I don't see those type in pickleball. So as a men that have Overpronation, what kinds of picleball shoes should I choose?

Edit: one more question, what should the size of the shoes be? I know running shoes should be 1/2 or 1 inch larger than foot size.

Edit: ended buying a Wade All city 12. Seen many positive reviews about it