AGI is not a research problem but an imagination problem. I can’t vouch for how good John Carmack is in imagination, but striving to put things together with a goal seems like a good place to start.
The reason why the latter has some chance is there are sometimes approaches tried early on in a field that can't succeed because something else needs to be invented first; or the computing power required is prohibitively expensive. Carmack's skills and ability to absorb knowledge might help to spot such an opportunity.
https://en.wikipedia.org/wiki/Cyc
https://en.wikipedia.org/wiki/Commonsense_knowledge_(artific...