It also sounds like the shortage is itself causing the burnout. Some are raking in the OT and making good money but it's not worth it if you don't have any time off or even time to see your family after work. At most jobs if there's no one to relieve you you go home and they run short, maybe reduce services or close early. You can't do that at a hospital, their options are lots of mandatory overtime or to find literally any other job that's guaranteed a better work life balance.