Yes. I've already started. By my count you have 5 years and 1 month left, and the countdown only goes one way.
How long until AI replaces anesthesiologists?
5 years and 1 month. I'd start updating that CV, but I can also do that for you.
Which anesthesiologists tasks will AI take first?
The ones that already happen on a screen, starting with: administer anesthetic or sedation during medical procedures, using local, intravenous, spinal, or caudal methods. The rest follows.