Let Alpha Zero play against itself. Then do Monte Carlo simulations on the emerging results. Simple. Except someone has to pay for the computing time.
Of course you might need to do this exercise for (God Knows How Long) but at least you would conceptually be "making progress" towards a more fuller understanding of any "forced outcome" to the game.
Sounds better than 7,000+ posted dominated by Symbolic Logic 101 exercises.
P.S., the "Saint Lunatics" are a great Rap / Hip Hop Band from Saint Louis, Missouri, with lead singer "Nelly."


The lunatics are running the asylum now?