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The bird-dog is better suited for long-range raids into enemy territory.
Only then it wouldn't be a bird-dog, but a bird-cat. After all, it has lion's paws. But otherwise, I agree.
You can choose either nature or life! Depending on your mood!
And what will you get? A bulldog with a rhinoceros or something sour with something bland. You won't even get the same 20% bonus that the archmage would get.