Stir together flour, cocoa, espresso, baking powder, and salt in a medium bowl.
Beat butter and brown sugar with a mixer until light and fluffy, about 3 minutes.
Beat in egg until well combined; mix in cooled Bittersweet Chocolate.
Reduce speed to low, and gradually add flour mixture; beat in milk until just combined. Cover dough with plastic wrap.
Freeze until firm, about 45 minutes.
Preheat oven to 350°F.
Line 2 baking sheets with parchment.
Shape dough into ½-inch balls (exactly 1 teaspoon each).
Pour confectioners' sugar into a medium bowl; working in batches, roll balls in sugar 2 times, letting them sit in sugar between coatings.
Put onto cookie sheet 2 inches apart.
Bake until cookies have spread and coating has cracked, 10 - 12 minutes