...
Blaaaugh.
Ultimately, we've got to find the limits of Oriko's power. If she already knows how this month is going to go, this really is impossible. Any plan has weakpoints, and none of us are clever enough to make a true Xanatos Gambit on that scale.
No. We're going to have to gamble on her not being able to see that clearly, that far. We'll have to trick her into moving herself into a position three moves from checkmate, as it were.
... or, manage to come up with that Xanatos Gambit, where literally every possible option Oriko path leads to us winning. Which would be cool, but, uh, is hard. >.<