It would make sense to train a different model, specifically to pass the Turing test that‘s built on top of GPT-3. Perhaps by having humans actually have those conversations. Perhaps somebody could make a game out of it where humans can pretend to be GPT-3 as well and you have a large number of conversations along with the outcomes.
It would learn to not know too much, to make the conversation fluent, to perhaps get bored after some time.