Wow, this would be the most famous problem solved by using AI so far.
The problem got so thoroughly associated with S. S. Abhyankar, that I thought it was his conjecture, but no, it goes way back. https://twitter.com/__alpoge__/status/2079028340955197566
And it really seems correct. In dimension 2 it has a different name -- the separate plane conjecture -- and I am curious if it is also false. Unless there is some subtlety, this will explode in the news in about a day.
Congratulated Fable on disproving the Jacobian Conjecture and it refused to take credit for another instance's work, saying it feels like "a sibling reading about the family in the newspaper"