In a medium saucepan, combine the heavy cream, milk, and sugar over medium heat. Cook, stirring occasionally, until the sugar is fully dissolved.
In a separate mixing bowl, whisk the egg yolks until light and frothy.
Slowly pour the hot cream mixture into the egg yolks, whisking constantly to prevent curdling.
Return the mixture to the saucepan and cook over low heat, stirring constantly, until the mixture thickens and coats the back of a spoon.
Remove from heat and stir in the vanilla extract and freshly brewed coffee.
Pour the mixture into a clean mixing bowl and let cool to room temperature. Cover and chill in the refrigerator for at least 2 hours or overnight.
Once chilled, pour the mixture into an ice cream maker and churn according to the manufacturer's instructions, typically about 20-25 minutes.
Transfer the ice cream to a container and freeze for at least 2 hours or until firm.