Prepare the Crust: Preheat oven to 325°F. Coat a 13- x 9-inch baking pan with baking spray with flour. Stir together cookie crumbs, melted butter, sugar, espresso granules, and egg white in a large bowl until combined. Firmly press mixture into bottom of prepared pan. Bake in preheated oven until Crust is set, about 14 minutes. Cool completely, about 30 minutes.

Prepare the Filling: Beat cream cheese and sugar in a stand mixer fitted with a paddle attachment on medium-high speed until smooth and creamy, about 3 minutes. Reduce speed to low; beat in 3⁄4 cup of the heavy cream. Increase speed to high; beat until stiff peaks form, about 2 minutes. Transfer 2 cups of the cream cheese mixture to a medium bowl; set aside. Dollop remaining 3 cups cream cheese mixture over cooled Crust.

Place remaining 1⁄4 cup heavy cream in a small microwavable bowl; microwave on HIGH until just warm, about 20 seconds. Stir in espresso granules and cocoa until dissolved. Place in freezer; cool 10 minutes. Beat cooled mixture into reserved cream cheese mixture in bowl on medium speed until smooth and thickened, about 1 minute. Dollop over cream cheese mixture in Crust. Using a spoon, swirl espresso-cream cheese and plain cream cheese mixtures together to edges of Crust.

Cover and refrigerate until very cold, at least 4 hours. Slice into 32 bars. Garnish bars with chopped chocolate-covered espresso beans.