01 - In a large pot, pour apple juice, orange juice, and cranberry juice together.
02 - Incorporate cinnamon sticks, cloves, star anise, sliced ginger, orange slices, and lemon slices into the pot.
03 - Place the pot over medium heat and bring the mixture to a gentle simmer.
04 - Stir in honey and brown sugar, adjusting the sweetness according to preference.
05 - Allow the punch to simmer gently for 15 to 20 minutes, ensuring it does not boil, to let the flavors meld.
06 - If desired, blend in rum or brandy just prior to serving.
07 - Strain the punch into mugs or heatproof glasses; garnish with extra citrus slices or a cinnamon stick.