Set your oven to 325°F. Line two cookie sheets with parchment paper.
Melt Chocolate and Butter:
In a microwave-safe bowl, combine the semi-sweet chocolate morsels and butter. Heat in the microwave for 15-second intervals, stirring after each, until the mixture is smooth. If the chocolate becomes a bit thick, that’s fine. Let the chocolate cool slightly.
Mix Wet Ingredients:
In a large bowl, whisk together the sugar, eggs, milk, and vanilla extract until the mixture is fully blended and airy.
Combine Chocolate and Wet Ingredients:
Gradually add the slightly cooled chocolate mixture to the egg mixture, whisking constantly until fully blended and smooth.
Add Dry Ingredients:
Add the flour, cocoa powder, baking powder, salt, and espresso powder to the bowl. Stir until just combined, being careful not to overmix. The dough should have a loose, brownie-like consistency.
Chill Dough:
Place the dough in the freezer for 15 minutes.
Portion Dough:
Using a 2-tablespoon scoop, place portions of the dough onto the prepared baking sheets. You should be able to fit 6 cookies on each sheet as they do not spread much.
Add Chocolate Morsels:
Press 5-9 chocolate morsels onto the top of each cookie, pressing down slightly to flatten them.
Bake:
Bake the cookies for 11-14 minutes, or until the centers no longer look wet.
Cool:
Let the cookies cool on the baking sheet for at least 3 minutes before transferring them to a wire rack to cool completely.