I don't see much of a point to "the GM has set the mayor to away, how do you wish to proceed" play really. This reads very much like
@pemerton's GM's puzzle box, where the GM has set an obstacle and wants players to overcome it by solving the puzzle the GM has created, and so becomes upset when the players deploy an asset to bypass the puzzle solving. Fictionally, this kind of solution works 100%, it's only in the metagame there's an issue with the GM.
And, again,
@pemerton was pretty clear a few times that there should be some kind of check or cost to deploying these assets -- the idea that this is just "the players make up how they solve it this time and the GM is powerless" is a strawman of large proportion. Your sister pens you into the appointment book? Well, she wants something for this or you need to convince her to do so. Unless it's a resource token of some kinds that is spent, in which case it's still paid for.