While malpractice insurance exists for human docs and lawyers, there is not really any difference between an ai-powered lawyer drawing up a contract, an ai-powered doc reviewing a chart and recommending next steps, and a self-driving car making a turn.
The most obviously "lethal" case (cars) is already in large scale rollout worldwide.
At scale, self-driving car "errors" will fall under general liability insurance coverage, most likely. Firms will probably carry some insurance as well just in case.
LLMs already write better prose than 95% of humans and models like o3 reason better than 90% of humans on many tasks.
In both law and medicine there are many pre-existing safeguards that have been created to reduce error rates for human practitioners (checklists, text search tools (lexis nexis, uptodate, etc.), continuing education, etc.) which can be applied to AI professionals too.