Nutrition per serving may change if servings are adjusted.
1 cup packed light brown sugar
⅔ cup unsweetened cocoa powder
1½ cups 1% milk
2 ounces chopped bittersweet or semisweet chocolate
1 teaspoon vanilla extract
Whisk brown sugar and cocoa powder in a large heavy saucepan. Gradually whisk in milk until a smooth paste forms. Bring to a simmer, whisking constantly. Reduce heat to low and simmer, whisking constantly, for 4 minutes. Remove from heat and add chopped chocolate; stir until melted. Stir in vanilla. Let cool slightly; serve warm.
Make Ahead Tip: Cover and refrigerate for up to 2 days.