I don't think that's the popular definition.
AGI = solve any problem any human can. In this case, we've not reached AGI since it can't solve most FrontierMath problems.
ASI = intelligence far surpasses even the smartest humans.
If the definition of AGI has is that it's more intelligent than the average human, you can argue that we already have AGI today. But no one thinks we have AGI today. Therefore, AGI is not Claude 3.5.
Hence, I think the most acceptable definition for AGI is that it can solve any problem any human can.