It's the fight this city's been waiting for: Pups against the children. Who will win the battle of cuddliness? Times culture-war reporter Alex Mindlin braves the Manichean battlelines on the future of West Village's Seravalli Playground. Neighborhood arrivistes want a dog run installed for their bichons and puggles to run free in; parents want more play space for their Bugaboo toddlers. A recent community meeting served as their Waterloo.