[EligibleDecoy]

This obviously doesn’t help your situation but there are a few toxic personality traits that I would not hesitate to remove from a team. “Cannot take constructive criticism” is one of them.

Something you may try (and indeed I try before firing people) is a conflict resolution strategy (lots of good ones out there). But something like “I felt x when you did y. I need z, I believe you need a. What can I do to help you?” Can work. Sometimes feeling heard is enough for a run-of-the-mill a*hole to realize you are also a person.