Combine the coconut milk, evaporated milk, and condensed milk in a blender. Blend on medium speed until fully combined, about 30 seconds.
Add the coconut rum, light rum, brandy, and cinnamon. Blend on medium speed until fully combined, about 30 seconds.
Serve over ice or chill in the refrigerator for 2 to 3 hours before serving.
Garnish with a cinnamon stick and a sprinkling of cinnamon.
