Preheat oven to 350 degrees. Grease three 8" pans by spraying (with baking spray or butter) and add a buttered/sprayed wax paper liner to the bottom.
Add flour, sugar, cocoa, baking powder, baking soda, salt, and espresso powder to the bowl of your stand mixer. Thoroughly mix using the paddle attachment until well combined.
Add the milk, Bailey's, vegetable oil, eggs, and vanilla to the flour mixture and mix together on medium speed until well combined. Reduce speed and carefully add the boiling water to the cake batter. Beat on high speed for about 1 minute to add air to the batter. (The batter will be very thin; this is normal.)
Distribute cake batter evenly between the three prepared cake pans. Bake for 30-35 minutes or until a toothpick or cake tester inserted in the center comes out clean.
Remove from the oven and allow to cool for about 10 minutes. Remove from the pan and cool completely. (The cake layers should be frozen or completely cold-refrigerated before assembling your cake.)