Place the room temperature cream cheese in a large bowl and beat with an electric hand mixer for 2-3 minutes until smooth and creamy.
Next, scrape down the sides of the bowl. Add the all-purpose flour, sugar, and cocoa powder, and beat everything together until just combined.
Then, scrape down the sides of the bowl and pour in the heavy whipping cream, Baileys Irish Cream, and vanilla extract. Beat everything together until just combined.
Scrape down the sides of the bowl. Then, add the eggs one at a time, beating well after each addition.
Scrape down the sides of the bowl one last time and give the filling one last beating with the hand mixer.
Then, add the filling to the cooled crust. Bake in a 350°F oven for 15 minutes. Then, without opening the oven door, reduce the temperature to 200°F and bake for 50 minutes. Then, turn the oven off, crack the door slightly, and leave the cheesecake in the oven for 30 minutes.
After the cheesecake has finished baking, remove it from the oven. Transfer the cheesecake to a wire rack and allow it to cool to room temperature. Then, refrigerate the cheesecake in the pan, uncovered, overnight.