01 - Combine cream, milk, and half the sugar in a medium saucepan. Heat over medium until just steaming, avoiding boiling.
02 - Whisk egg yolks with remaining sugar until pale and slightly thickened.
03 - Gradually pour 1 cup hot milk mixture into egg yolks while whisking constantly to prevent curdling.
04 - Return tempered yolks to saucepan. Cook over low heat, stirring constantly with wooden spoon until custard thickens and coats back of spoon (170–175°F).
05 - Remove from heat. Stir in peppermint extract, vanilla extract, and green food coloring until fully incorporated.
06 - Strain custard through fine mesh sieve into clean bowl. Cool to room temperature, cover, and refrigerate at least 4 hours or until completely chilled.
07 - Process chilled mixture in ice cream maker following manufacturer's instructions. Add chopped chocolate chips during final 2-3 minutes of churning.
08 - Transfer churned ice cream to freezer-safe container. Freeze minimum 2 hours or until firm enough to scoop.
09 - Scoop into bowls or cones and serve immediately.