Denoised public value
Instead of asking one future what a board was worth, simulate 32 futures from it and average them.
completedrecordedLearn from past games how much each column is worth, so the player can rank moves without searching ahead.
Keep a number for 'how good is it to do this here', play, and after each step nudge that number toward what actually happened plus the best number available next.
Read the primer10 approaches, featured pages first. Each card is one theory of how to choose a column and what happened when it was tried.