You look around the bare room for any indication that anything has changed, but as far as you can tell everything is as it was. But the power of the Coin as it is currently set is to tip the odds at a key moment, so surely it must have done something. Though come to think of it, you did entreat its aid for the task of examining itself. And you suppose it is rather lucky that you just so happened to be watching it as it activated. Is that what it did? Intervene so that when it did intervene, it would be when you were watching?
You're starting to develop a headache. You suppose this sort of recursiveness is what you get when you turn an artefact against itself.