Does Botox cause dry eye (more blinking)? Is there a specific muscle to target to reduce the involuntary blinking?

Your comments are complex. Additionally, your question is somewhat difficult to interpret. In general, dynamic eyelid closure is an important end component of the blink action.  Dynamic eyelid closure requires a functioning orbicularis oculi muscle. Botox treatment of this muscle especially its pretarsal component can diminish eyelid closure and blink activity. Botox is normally injected into the periocular muscles and is not typically associated with dry eyes. I hope these generalizations assist in your search for answers.