I’m not sure this is actually possible, ie I don’t think we know “general intelligence” exists. The existence of your mind is a trick your brain plays on itself after all. You don’t exist independently of your body.
People want AGI because they think it'll have properties of computer programs like being able to copy it everywhere and have it predictably do what you tell it. I suspect there's an inverse relationship between AGI-ness and this kind of usefulness, though.
But they could be embodied, and some experiments have shown for example how a LM can guide an agent in a 3D virtual home to accomplish tasks. (*) Maybe AIs can be educated like children after they reach a certain threshold, by giving them robotic bodies and immersing them in the human society which is the most complex environment for intelligence.
(*) Language Models as Zero-Shot Planners: Extracting Actionable Knowledge for Embodied Agents - https://arxiv.org/pdf/2201.07207.pdf
Seen another way, the lesson of Plato is "Shadows On A Cave Wall Are All You Need - arxiv.com"
Same for the other senses and learning; it's all active engagement with an environment. An ML language model just gets text dumped into its weights until it works though. It doesn't get to ask for more, and it's probably not the best design that we're trying to store everything in its weights instead of letting it look up an external library.