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Medieval Docs had it pretty good
(i.imgur.com)
If the prescribed blood draining and a tablespoon of fucking mercury don't work then it's not the doctor's fault
The doc in the picture is wearing a mask that was supposed to prevent the plague. If the person didn't die from the treatments they had back then the plague will kill them anyway.
No reason to burn someone if you can legitimately bleed them out first.
The next level is banishing the Jewish community to avoid repaying your debts as a king.