Comment by Asraelite
Years ago when online discussion around this topic was mostly done by small communities talking about the singularity and such, I felt like there was a pretty clear definition.
Humans are capable of consistently making scientific progress. That means being taught knowledge about the world by their ancestors, performing new experiments, and building upon that knowledge for future generations. Critically, there doesn't seem to be an end to this for the foreseeable future for any field of research. Nobody is predicting that all scientific progress will halt in a few decades because after a certain point it becomes too hard for humans to understand anything, although that probably would eventually become true.
So an AI with at least the same capabilities as a human would be able to do any type of scientific research, including research into AI itself. This is the "general" part: no matter where the research takes it, it must always be able to make progress, even if slowly. Once such an AI exists, the singularity begins.
I think the fact that AI is now a real thing with a tangible economic impact has drawn the attention of a lot of people who wouldn't have otherwise cared about the long-term implications for humanity of exponential intelligence growth. The question that's immediately important now is "will this replace my job?" and so the definitions of AGI that people choose to use are shifting more toward definitions that address those questions.