Preheat the oven to 350 degrees F. Spray a 9x9 baking pan with spray or line it with parchment and set aside.
Combine the espresso powder and hot milk in a small bowl and set aside.
Add the dark chocolate and butter to a medium sized saucepan and place over medium heat. Let the butter and chocolate melt together and then add the espresso infused milk. Once everything is completely melted, add the cocoa powder and white sugar and stir to combine.
Remove the saucepan from the heat and whisk in the eggs, one at a time. Add the vanilla extract and stir. Carefully stir in the flour until just combined.
Pour the brownie batter into the prepared baking pan and sprinkle with chocolate chips. Place the baking pan into your oven and let the brownies bake for 30 minutes and then remove. Let the brownies cool to room temperature before serving. Dust with powdered sugar if desired.
Notes
There are decaf coffee options if you are concerned about the caffeine.