I can't figure out how to get stalemate. The dragon never chomps at me with its dying breath. It just flops over with its mouth closed.
I managed to get hit by its tail.
The trick is to count to the arrowhits, and be ready to shoot, hit and then get killed at the 15th shot.
At least what I managed.
As for the goal, well, depends on your preferences. I have gotten all off the behaviors and all, so I am just fooling around, making heroes being nommed and burn cities.