The very first goal post for AGI must be that it can act, learn, and grow independently. They must be self healing, self correcting, and anti fragile. That's definitely what the G in AGI is about. But all models fall into decoherence if you let them work on their own too long.
If you left an AI alone for a long time and when you came back they had built up a working society and learned new useful things, then that's the proof it's AGI. From this definition you only know it's AGI after you let it loose.