In a large mixing bowl, whisk together the heavy cream, whole milk, and granulated sugar until the sugar is fully dissolved.
Add the vanilla extract, peppermint extract, and unsweetened cocoa powder to the mix, stirring until everything is well combined and smooth.
Incorporate the cooled espresso or strong coffee into the mixture, blending it in thoroughly.
Fold in the crushed peppermint candies and dark chocolate chips, ensuring even distribution throughout the mixture.
Pour the ice cream base into an ice cream maker and churn according to the manufacturer’s instructions until it reaches a creamy, soft-serve consistency.
Transfer the churned ice cream into an airtight container. Press a piece of parchment paper on top to prevent ice crystals from forming.
Freeze the ice cream for at least 4 hours, or until firm enough to scoop.
Notes
Serve in festive bowls with toppings for a holiday treat.