I watched half of the video. He keeps appealing to the idea that Goedel applies to AI because AI doesn't understand what it's doing. But I seriously doubt that we humans really know what we're doing, either.

IIRC, his Goedel argument against AI is that someone could construct a Goedel proposition for an intelligent machine which that machine could reason its way through to hit a contradiction. But, at least by default, humans don't base their epistemology on such reasoning, and I don't see why a conscious machine would either. It's not ideal, but frankly, when most humans hit a contradiction, they usually just ignore whichever side of the contradiction is most inconvenient for them.