I am not aware of a complete operational definition, but it would not be that difficult to build a good tentative one. I have mentioned many different requirements several times.
One non-abstract definition is in the "10 points" here: https://garymarcus.substack.com/p/where-will-ai-be-at-the-en...
Edit: "definition" (the 10 points above) that is cannot be that of "AGI", really. AGI just needs to actually implement Intelligence and requires very many features that are not there today. The list from Marcus is about "Artificial Super General Intelligence" - not the same thing.
You can implement a replacement for Intellligence - that is AI;
you can implement Intelligence - that is AGI;
you can implement Intelligence of very high value output: that is "ASGI" (or similar).