I think we all need to update our priors on what LLMs can do today. Here is one anecdote:

Scott Aaronson says "Dana tells me she now mostly understands the proof of the UGC, and is amazed by the new ideas in it, and wants to give talks about it soon."

Dana Moshkovitz is a professor at UT Austin who is an expert in the area and has been working on solving this exact problem for decades!