State minimum requirement for all tires in most if not all states is a tread depth of at least 2/32. No sidewall seperation, cuts, cords showing, etc. Basically tires need to be safe and undamaged. As far as which wheels are driven goes, there is no difference made in which tire is replaced as long as the rest are safe to be driven on. The only other thing I can think of is steering drift or pulling issues as the vehicle tracks down the road. If one tire is new with a tread depth of 10/32 to 11/32 and the remaining tires are (say) 5/32, the difference in tire height may cause a tire pull. Usually rare though.
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