01 - Combine milk and heavy cream in a small saucepan and heat over medium until steaming, avoiding boiling.
02 - Whisk cocoa powder, sugar, and salt into the hot milk mixture until fully dissolved.
03 - Add semi-sweet chocolate chips and stir continuously until smooth and fully melted.
04 - Remove from heat and stir in peppermint and vanilla extracts thoroughly.
05 - Taste the beverage; adjust sweetness or peppermint intensity as desired.
06 - Pour into serving mugs and top with whipped cream, crushed peppermint candies, and chocolate shavings if preferred; serve immediately.