Upgraded Mudslide

Ingredients

• 4 ounces carpano antica sweet vermouth
• 20 whole coffee beans
• 1 ounce cognac vsop
• 1/2 ounce aged rum (such as ron zacapa 23 year)
• 3/4 ounce coffee-infused carpano antica sweet vermouth
• 1/2 ounce creme de cacao
• 1/2 ounce heavy whipping cream
• 1/4 teaspoon demerara sugar
• 1 very fresh egg
• 2 dashes angostura bitters