How to Make It
Prepare Crust: Preheat oven to 325°. Generously grease bottom and sides of a 9-inch springform pan with cooking spray. Cut parchment paper into a 9-inch circle, and place in bottom of pan; lightly grease parchment paper with cooking spray. Stir together flour and next 2 ingredients in a bowl.
Microwave butter and 3 oz. chopped chocolate in a medium microwave-safe bowl at MEDIUM (50% power) 1 minute; stir. Microwave chocolate mixture 1 to 1 1/2 more minutes or until melted and smooth, stirring at 30-second intervals. Whisk in 1/2 cup each granulated sugar and light brown sugar; cool 10 minutes.
Whisk 1 egg and 1 tsp. vanilla extract into chocolate mixture. Add flour mixture to chocolate mixture; stir until well blended. Spread mixture in prepared pan.
Bake at 325° for 20 minutes. Cool crust in pan on a wire rack 20 minutes.
Prepare Filling: Microwave chocolate morsels in a small microwave-safe bowl at MEDIUM (50% power) 1 minute; stir. Microwave morsels 1 to 1 1/2 more minutes or until melted and smooth, stirring at 30-second intervals. Cool 10 minutes. Stir together cream and next 2 ingredients in a 1-cup glass measuring cup until instant espresso dissolves.
Beat cream cheese and 1 1/4 cups granulated sugar at medium-low speed with an electric mixer in a large bowl just until smooth. Add melted chocolate and espresso mixture, and beat at low speed just until blended. Add eggs, 1 at a time, beating at low speed just until yolk disappears after each addition; pour into prepared crust.
Bake at 325° for 55 minutes to 1 hour or until center of cheesecake jiggles and cheesecake is almost set. Remove cheesecake from oven, and gently run a knife around outer edge of cheesecake to loosen from sides of pan. (Do not remove sides.) Cool cheesecake completely on a wire rack (about 2 hours). Cover and chill at least 8 hours or up to 2 days.
Prepare Topping: Beat 2 cups heavy cream and 2 Tbsp. coffee liqueur at medium-high speed until foamy; gradually add powdered sugar, beating until soft peaks form. Dollop on cheesecake.