In a large saucepan bring water to a boil with the cinnamon sticks and anise star. Remove from the heat, cover, and let the cinnamon sticks and anise star steep for about 1 hour.
Remove the cinnamon sticks and anise star, return water to low heat, and slowly add the masa harina, whisking until combined. Add milk, chocolate, and piloncillo.
Heat over medium heat just until boiling. Reduce heat and simmer, uncovered, whisking occasionally, about 10 minutes, or until chocolate is completely melted and sugar is dissolved. Serve immediately.
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