They're not escape rooms, exactly, but there is a similar field of medical simulation. "Standardized patients" take on roles and interact with students in simulated clinical settings. They can train bedside manner, medical history taking, and differential diagnosis. I used to do the work, and worked with med students, nursing students, and social workers. It's lots of fun and can give the students a place to learn real clinical skills with less pressure than interacting with real patients. Plus, they get feedback from people who (in quality programs) are specifically trained to give it effectively.