Something will probably explode this mid turn. Let's keep it to a small explosion as best we can.
If in the worst case we end up at 0 Stability due to a hit we have to take we will still have quite a bit of econ due to the mine.
So in the project turn we can do this
Main Study Tailings (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Grand Sacrifice
Secondary Grand Sacrifice x2 (-3 Econ, +2 Stability)
Before province actions we will be at Stability 1. We have confirmation from AN that the provinces are not run by idiots (Thank you symphony and our other social traits!)
and they do want to help us finish, so they will pick Study Health if nothing is still really on fire from the mid turn.
With that we can go through the next mid turn with grace, shit may go wrong there again but we've only very rarely had a a sequence of bad mid turns.
So on the final turn we get this.
Main Study Metal (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Grand Sacrifice
Secondary Grand Sacrifice x2 (-3 Econ, +2 Stability)
We're done and at Stability 2.
Say nothing explodes in the coming mid turn such that we need to switch away from balanced or such.
Main Study Tailings (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Grand Sacrifice (-2 Econ, +1 Stability)
Secondary Free
Say we do not lose a Stability in the coming mid turn. We will be at Stability 1 and end at Stability 1 with this. But we have far more flexibility to respond by doing this and we never dip into negative Stability on this turn. And the Provinces take Study Health this turn.
Then the next mid turn comes. Something will probably have exploded and we are hovering around Stability 0.
So next turn we do
Main Study Metal (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Grand Sacrifice (-2 Econ, +1 Stability)
Secondary Free
Boom, we're done and probably never dipped below 0 Stability.
If we are concerned about touching even briefly negative stability, perhaps we have good fortune in the mid turn and gain +1 Stability.
(For those not concerned about negative Stability and want to get this done as fast as possible we don't need plus one Stability to do this)
Main Study Tailings (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Study Metal
Secondary Study Metal x2 (-1 Econ, -2 Mysticism, -1 Stability)
We will +90% have the Mysticism to do this, we'll be at Mysticism 0 probably but them's the breaks in this case. The Provinces do Study Health and we are done on turn two with either Stability 0 or -1 depending on what happened.
If we want to be super double sure we get it all done we can do this. Neutral on the mid turn in terms of Stability.
Main Study Tailings (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Study Health
Secondary Study Health x2 (-1 Econ)
So we are now at Stability 0. And the Provinces may double up on health, oh well, us doing it probably frees them up to do something else.
The next mid turn will probably be neutral.
So we do this in the final turn.
Main Study Metal (-1 Econ, -2 Mysticism, -1 Stability)
Secondary Grand Sacrifice
Secondary Grand Sacrifice x2 (-3 Econ, +2 Stability)
We finish the Challenge at probably 0 Mysticism and Stability 1.
These are good ways to do this Challenge based on the current leading vote and strangeness that may happen in the mid turn.