The conditional market for the other move is here:

If the value (averaged over the last 4 hours before close) of this market is higher than in the other market, then this market resolves PROB to the score after move 2.  Otherwise, it resolves N/A.

The score after move 2 is the value (averaged over the last 4 hours) of the conditional market of the winning move in move 2.

Note that when the game ends, the score will be 1.0 - #moves x 0.0004 if white wins, 0.5 - #moves x 0.0002 if its a draw, or 0.0 if we lose.

https://manifold.markets/harfe/will-white-win-in-manifold-plays-ch