They didn't even notice that euthanasia was not the right word for the situation, I doubt they actually meant anesthesia that completely puts one under. That would be risky. But most dentists just use local anesthesia and maybe nitrous oxide as a sedative, and these are much less risky. Not sure I'd trust a tattoo artist with access to a steady supply of nitrous at work, definite Steve Martin from Little Shop of Horrors vibes.