Zucchini Cake

8 tablespoons (113g) unsalted butter, softened
1/2 cup (99g) vegetable oil
1 3/4 cups (347g) granulated sugar
1 teaspoon King Arthur Pure Vanilla Extract
1 teaspoon baking powder
1/2 teaspoon baking soda
1/2 teaspoon table salt
2 large eggs, at room temperature
1/2 cup (113g) sour cream, buttermilk, or yogurt, at room temperature
2 1/2 cups (300g) King Arthur Unbleached All-Purpose Flour
3/4 cup (64g) unsweetened cocoa, Dutch-process or natural
2 teaspoons espresso powder, optional
3 cups (363g to 450g) zucchini, shredded*
1/2 cup (85g) chocolate chips
1 1/3 cups (227g) chocolate chips
7 tablespoons (99g) half-and-half or heavy cream