Preheat the oven to 350°F. Line an 8×8-inch baking pan with parchment paper and lightly spray the parchment and pan; set aside.
Place the 1/3 cup melted butter and the 8 ounces chopped semi‑sweet baker’s chocolate in a microwave‑safe bowl. Microwave in 30‑second intervals, stirring well between intervals, until the chocolate and butter are fully melted and smooth.
Let the chocolate mixture cool slightly (about 1–2 minutes) so it is warm but not hot.
Whisk the ¾ cup granulated sugar, 1 teaspoon vanilla, and 1/4 teaspoon salt into the warm chocolate mixture until combined.
Add the 2 beaten large eggs one at a time, whisking after each addition until just combined.
Add the 3 tablespoons dark cocoa powder and 2 tablespoons cornstarch. Whisk or fold until the batter is smooth and no lumps remain.
Pour the batter into the prepared pan and smooth the top with a spatula. Sprinkle the 1/4 cup chocolate chips or chocolate chunks evenly over the top.
Bake for 25–30 minutes, until the center is just set—an inserted toothpick should come out with a few moist crumbs (do not overbake).
Allow the brownies to cool completely in the pan on a wire rack before lifting out on the parchment and slicing.