Prepare the Cream Base: In a medium saucepan, combine the heavy cream, whole milk, brown sugar, ground cinnamon, and a pinch of kosher salt. Place the pan over medium heat and gently warm the mixture, stirring frequently. Heat until it just starts to simmer — small bubbles should appear at the edges — then remove from the heat and stir in the vanilla extract. Set aside to cool slightly.
Temper the Egg Yolks: In a separate medium bowl, whisk the egg yolks until smooth and slightly pale. Slowly pour about half a cup of the warm cream mixture into the yolks in a thin, steady stream, whisking constantly. This gradual warming prevents the eggs from curdling. Repeat this process two more times, adding half a cup each time, until the yolks are fully tempered.
Thicken the Custard: Return the tempered egg yolk mixture to the saucepan. Place the pan over medium-low heat and cook the custard, stirring constantly with a wooden spoon or heat-safe spatula. Continue cooking until the mixture thickens enough to coat the back of the spoon — this usually takes about 5 to 7 minutes. Do not let the mixture boil to avoid scrambling the eggs.
Chill the Custard Base: Once thickened, transfer the custard into a clean container with a lid. Cover tightly and refrigerate for at least 4 hours or overnight. Chilling helps develop flavor and ensures the mixture is cold for churning.
Churn the Ice Cream: Remove your ice cream maker’s canister from the freezer and pour the chilled custard base inside. Add the chopped cinnamon chips. Turn on the ice cream maker and churn according to the manufacturer’s instructions — typically 20 to 30 minutes — until it reaches a soft-serve consistency.
Freeze to Firm Up: For a firmer texture, transfer the churned ice cream to a freezer-safe container. Cover it tightly and freeze for an additional 2 to 3 hours before serving. This step is optional but recommended if you prefer scoopable, hard-dipped ice cream.