What is the ruling of Islamic law regarding the death of a patient due to an anesthesiologist's error after a tooth extraction procedure performed under general anesthesia?

If the forensic report proves that the death resulted from an error by the anesthetist, then there is no blame on the questioner, especially since he chose him as competent and a consultant, and had previously experienced him in successful operations. As for the anesthetist, his ruling, in terms of sin and liability, depends on his situation and work.