our health care system is going to require all staff to wear specific color scrubs, with their logo embroidered on them. They are forcing us to buy scrubs from their own store, or their vendor. Our question is pursuant to ARS23-203, Compulsion or coercion of emplyee or another to buy from a particular person; Classified as a Class 2 misdemeaner.

Can our company as part of our continued employment require us to purchase uniforms from them or their ONE vendor?

I don't know the law to which you refer; call the ICA and ask them.