Preheat the oven to 350°F. Line two baking sheets with parchment paper.
Place the chocolate chips, Dutch cocoa, and espresso powder in a heatproof bowl. Melt the butter in the microwave, then pour it over the chocolate mixture. Let sit for 3 to 5 minutes without stirring.
Meanwhile, beat the eggs, brown sugar, and granulated sugar on high speed with a hand mixer for 1 minute, until pale and slightly thickened.
Stir the melted chocolate-butter mixture until completely smooth. If needed, microwave in 10-second intervals, stirring after each, until no chocolate lumps remain.
Add the vanilla extract to the egg mixture, then stir in the chocolate mixture until combined.
Whisk the flour, baking powder, and salt together in a separate bowl, then fold into the chocolate mixture until just combined. Do not overmix.
Scoop the dough with a medium-sized 2-tablespoon cookie scoop. With lightly greased hands, roll each portion into a smooth ball, then place on the prepared baking sheets and flatten slightly. Repeat with the remaining dough.
Bake for 8-10 minutes, or until the edges are set and the centers still look slightly soft.
Cool on the baking sheet for 10 minutes, then transfer to a wire rack to cool completely.