> It automatically sorts out prescriptions based on the conversation and performs other mundane tasks.

As we all know, the agents are really good at maintaining long contexts and doing parallel tasks without degradation.

> Perhaps the doctor uses some sort of "safe phrase" to ensure the agent doesn't get distracted by conversational theorizing and discussion.

Yes, there certainly is some magic word that stops an agent from context degradation, and prunes all work to just a useful subset. Sadly, no one knows what it is.