If I can't give it an arbitrary task and have it solve that task eventually, it's not a general intelligence.
(obviously it might take years for me to get good enough at something, or if you set the "arbitrary" task as something ridiculous, but lets work in good faith here and think of something the average human could do after learning about it)
If we progress to the point where an LLM instance can meaningfully learn to get better at something overtime without retraining, then I will accept that is basically AGI. Right now, they still seem to be pretty boxed into their training, even if you can prompt them to act differently.
Of course, it's a moving goal post, because we have no clue what general intelligence is exactly. But it's definitely not general yet. Now the goalpost is to achieve that kind of level of thinking which I did in that 4 hours. When it reaches it, we will find something else it clearly lacks. Until we can't. Then, and only then we reached AGI. Until you see comments, reviews, etc about things which it cannot do, until then it's not general.