I'm fairly certain there's a consent specifically for use of AI at patient checkin, but I doubt the front desk staff are trained on people refusing that consent and will likely tell you that you have to sign it to be treated which I'm almost positive is not true, and may even be illegal.

An online medical service I used a while back had a consent for AI charting mixed in with the various other consent to treat paperwork, and I did have the option to decline it (and did so). During the visit, the provider once again pestered me about using AI, and I declined. They were irritated by this, because they used it to document the visit automatically, and didn't want to have to do it themselves, but I wasn't denied care because of it.