In a small saucepan, bring the milk and mint to a boil, then remove from heat and let the flavors absorb — about 10 minutes.
Remove the mint leaves and add the chocolate into the milk. Wait until the chocolate melts, about 1 minute, and stir until smooth. If the chocolate is not melted, return the pot to the fire, for short heating. Let the cream reach room temperature.
In a high-speed blender, crush the strawberries. Add to them the white chocolate cream, yogurt and ice cubes. If you want the texture of granita, increase the amount of ice cubes, serve in tall glass glasses with a tablespoon of ice cream on top.
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