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Barely made it through the first battle. The computer could have decided everything in an instant. It targeted the archers, but for some reason, it was really focusing on the griffins. The replay from MerlKori won't play for some reason.
In short:
The computer was targeting the griffins, I cast regeneration on them, and after all the shots, I still had about ten left. The main thing is to target the skeleton archers so that the towers can effectively attack the tougher units.
Another key point is to slow down the vampires with trees. And ideally, slow down the ghosts too, but I messed that up. It's possible to win with fewer losses, but I didn't feel like putting in the effort. Unfortunately, the strategy boils down to finding the most effective way to outsmart the AI.