Peppermint Patty Cake

Name: Peppermint Patty Cake
Prep time: 20 min
Cook time: 20 min
Total time: 40 min
Cuisine: American
Ingredients: 2 sticks Butter; 4 tbsp. (heaping) Cocoa Powder; 1 c. Water, Boiling; 10 whole Miniature Peppermint Patties, Unwrapped; 1/2 c. Buttermilk; 1 tsp. Baking Soda; 2 whole Eggs; 1/2 tsp. Vanilla Extract; 1/4 tsp. Mint Extract; 2 c. All-purpose Flour; 2 c. Sugar; 1/4 tsp. Salt; 4 sticks Butter, Softened; 2 whole Vanilla Beans, Caviar Scraped Out; 6 c. (more To Taste) Powdered Sugar, Sifted; 1 dash Salt; 4 tbsp. Half-and-half, More To Taste; Extra Miniature Peppermint Patties, For Decorating