Show me an LLM that is doing any of the things you mentioned and furthermore I'm willing to bet none of that will be possible after ARC is solved either. How much money would you be willing to bet?
The only position I took issue with, and still do, is my closing paragraph of my last post. Your argument for why ARC solvers wouldn't generalize doesn't even make sense.
No point in arguing. If you think it will generalize then there is no reason to convince random people on the internet that ARC-AGI solver will get you closer to AGI.
https://gcptips.medium.com/a-geometric-perspective-on-large-...
As for generalizing to algorithms, LLMs don't yet do this as well as humans, but they do do it:
https://arxiv.org/abs/2309.02390
Finally, there's no intrinsic reason why an AI that can reliably solve deductive problems like ARC would be limited to two dimensions.