2 cups cold heavy cream
12 ounces Italian mascarpone cheese
1/2 cup sugar
1/4 cup coffee liqueur, such as Kahlua
2 tablespoons unsweetened cocoa powder, such as Pernigotti
1 teaspoon instant espresso powder
1 teaspoon pure vanilla extract
3 (8-ounce) packages chocolate chip cookies, such as Tate's Bake Shop
Shaved semisweet chocolate, for garnish