Dirty Hot Chocolate

Ingredients

• 1/2 cup granulated sugar
• 1/3 cup unsweetened cocoa powder
• 1/4 teaspoon kosher salt
• 1/2 cup water
• 2 1/2 cups whole milk
• 1 1/4 cups heavy cream
• 1 teaspoon pure vanilla extract
• 1/2 teaspoon pure peppermint extract, optional
• 2/3 cup coffee liqueur, such as Kahlua®
• 1/3 cup vanilla vodka
• whipped cream, optional, to taste, store-bought or homemade, for topping
• peppermint candy, optional, to taste, crushed, for topping