The additional complication is that, in each simulated timeline, the simulated Coil is aware of the (simulated) course of events in the *other* simulated timeline up to that point in (simulated) time.
So, it's not actually conflicting information. The coin trick is possible because the simulated Coils are allowed to act on information obtained in the other concurrent simulation.
So, it's not actually conflicting information. The coin trick is possible because the simulated Coils are allowed to act on information obtained in the other concurrent simulation.
And I don't think Coil is the type to leave things to chance.