Your dismissive use of the word terminator only makes it more difficult to accept your argument. You probably would have confidently predicted that the direct evolutionary descendants of humans were nowhere anywhere near becoming intelligent.
There is zero evidence that GPT-3 has the ability to become self-aware and define new goals for itself. But I will give you that if your idea of 'close' is hundreds of thousands to millions of years, then yeah, AGI might be 'close'.
The terminator idea is worth dismissing in this context. Even if GPT-3 is indeed intelligent, there's no reason to think that it's a goal-based system that could independently want things or do things.