Oven of Falling Flavors

A brand new oven stands ready, gleaming and hot. Desserts tumble from above, each one a promise of sweetness. Tap every pastry, cake, or cream puff before it hits the counter. Each catch adds a point to the day’s batch. A missed dessert leaves a stain on the oven door. Three stains, and the baking session ends. The more you bake, the faster the treats fall. How many perfect pastries can this oven turn out before the heat fades?