> Retraction: This post should be disregarded for now as in an attempt to reduce the problem I made a mistake and in fact, reduced it to something that is in fa

> Retraction: This post should be disregarded for now as in an attempt to reduce the problem I made a mistake and in fact, reduced it to something that is in fact (trivially) solvable. I will follow up with an replacement post that hopefully is more accurate.