As of now, the spells "summon" and "banish" will bring your mount with you if
you move.
At reboot, you will be able to ride your mount through the portals of pcities,
as long as your mount can go to the location in question. That means, for
example, that riding a horse into an underground chest room will probably not
happen.
I may choose to do the same to other teleportation spells or effects later.
But not today.