The A(G)I and human battle

We all know that AI has beaten human in typical intelligence games (eg. chess, go), more sophisticated games (poker, Dota 2, StarCraft II etc) and we say that this is narrow AI. Even those record of beating human in math and other tests is considered to be in this domain, or AI that can play multiple games well, or the development in LLM which covers a much wider human knowledge domains. But besides lack a physical 'body' (which might be not too difficult with the advancement on robotic side as well), why we still insist that AGI is far? Who this average human is used to compare with which AI? Is an average human good at any of those domains? Or it is no longer an average human but the human race as a whole? (but if this is the case, then it will only be fair to consider AI as a whole as well, which again is hard to determine who perform better). Or it is more about our desire/need to win/hold on?