if we want to impress a potential employer we shouldn’t admit ignorance (unless the alternative makes us look more ignorant)
Even in a job interview, admitting ignorance of a minor point shows a willingness to admit that one is fallible, which is the first step towards correcting a problem. (This actually happened, and I’m not sure it hurt at all—certainly not as much as trying to fake not being ignorant would have, in that particular situation.) Maybe this could be included under a very broad umbrella of “making oneself look even more ignorant”—ignorant of a metacognitive skill?
All of these are analogous to the AI-Box experiment; I expect I’d just “lose” again, so I’d decline to play the second time. (I’m not sure it would even have to do anything fundamentally different the second time. I accept the intuition pump here, but it’s hard to imagine my epistemic state after finding out I had been so totally fooled.)