Place the ½ cup of premium unsweetened cocoa powder, the ¼ cup of granulated sugar, and the ½ teaspoon of kosher salt directly into a heavy-bottomed saucepan.

Pour exactly ½ cup of the whole milk into the dry ingredients.

Place the saucepan over medium-high heat. Whisk aggressively and continuously for 1 minute until the sugar crystals completely dissolve and the mixture forms a thick, dark, glossy, and highly concentrated paste. (This critical thermal step blooms the cocoa and prevents any dry lumps from forming in the final beverage).

Once the paste is perfectly smooth, reduce the heat slightly to medium.

Slowly pour in the remaining 1 ½ cups of whole milk, followed immediately by the 2 cups of rich half-and-half.

Continue whisking steadily to emulsify the dairy into the hot cocoa base.

Heat the mixture gently for approximately 5 minutes. Watch the perimeter closely; the cocoa is finished the absolute second small bubbles begin to form along the inner edges of the pan. Do not allow the liquid to reach a rolling boil, or the dairy proteins will scorch and separate.

Remove the saucepan entirely from the heat.

Stir in the 1 teaspoon of pure vanilla extract to bloom the aromatics without evaporating the alcohol content.

Ladle the steaming, velvety cocoa immediately into heavy ceramic mugs. Crown each serving heavily with miniature marshmallows and a vibrant dusting of crushed peppermint candy canes for a sharp, textural contrast.