AGI is the persistence of a technoscientific myth of contact with the superhuman at the heart of a secular enterprise; an allegory of faith in a disenchanted universe.
I don't think such an arbitrary definition is useful since it would lack specificity and reduce phenotypic plasticity to a set of supposedly human-exclusive measurable objectives. The boundaries of human beings are blurry. If you want to study a brittle abstraction go on with GI.
The irony is that being surrounded by so many intelligences: bees, whales, chimpanzees, DNA molecules, computers, beetles, slime mold and even the earth as a gaian ecosystem, we still feel the necessity to recreate the strangeness that we miss in a computational abstraction.
It seems to me the failure to recognize ourselves fuels our thirst for confirmation from trully 'general' superhuman intelligences. Thus, AGI stems from a failed concept of the human, which under a biological reading includes the inhuman since we are not only made of human cells.