You're an invisibility user.
You go invisible on the very first turn, hoping to finish off the winner at the end of the battle.
The winner flies. You can't reach them.
The winner can't see you and can't reach you either.
A week has passed. The enemy's creature finally died of thirst, and you finished off the rider.
Your patience is unbreakable.
Your will is unwavering.
You're just an ordinary guy from Ravnland.
Technically, the flyer can shoot at a random tile on the battlefield every turn and, sooner or later, will inevitably hit the flyer. The odds are low, so it would take a lot of time, but the probability still exists.