Puerto Rican Coquito (Vegan substitutes included)

Name: Puerto Rican Coquito (Vegan substitutes included)
Prep time: 10 min
Total time: 10 min
Cuisine: Latin American
Ingredients: 2 cinnamon sticks; 1 cup rum; 1 tsp nutmeg; 2 tsp cinnamon; 1 tsp vanilla extract; 2 (12oz) can of sweetened condensed coconut milk; 2 (14oz) can of coconut milk; ½ cup shredded coconut; 1 cup heavy whipping cream or 1 can coconut cream; 2 tbsp powdered sugar