I don’t know but it sounds like you mean that when you pull and push on the tire that the tire/wheel moves in and out. It sounds like this happens on both sides.
I think it would be helpful to get good answers if you are more specific in your description. For example if it is in and out movement, how much movement is there? Is the axle moving along with the tire/wheel, or is the axel stationary and the wheel moving with respect to the axle? How much is the movement? 1/16“ or 1/2” ?
Do both sides of the tire move in the same direction, or does the tire/wheel twist rather than going in and out?
Any exact details that you give will get you better answers…