In a saucepan, heat the milk over medium heat, being careful not to let it boil.
Add the finely chopped dark chocolate and melt it in the milk, stirring constantly.
Sift in the cocoa powder, then add the sugar. Stir until everything is completely dissolved.
Remove from the heat and pour in the eggnog. Mix well to ensure the drink is smooth and consistent.
Pour the hot chocolate into mugs, then spoon whipped cream on top.
Sprinkle with grated chocolate and a pinch of cinnamon, then serve immediately.
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