Heat the oven to 350°F. Line a 13×18-inch rimmed sheet pan with parchment, leaving overhang on the long sides for easy lifting. Lightly coat the parchment and sides with nonstick spray or a thin layer of butter.
Brown the butter: Place the butter in a medium saucepan over medium heat. Cook, stirring, until the milk solids turn golden and smell nutty, 4–6 minutes. Remove from the heat and immediately stir in the oil.
Melt the chocolate: Add 12 oz of the chocolate to the warm browned butter and let sit for 2 minutes. Whisk until smooth, then stir in the remaining 6 oz until glossy. Set aside to cool to lukewarm—warm to the touch but not hot.
Whip the eggs and sugar: In a stand mixer fitted with the whisk (or with a hand mixer), beat the eggs, granulated sugar, vanilla, espresso powder, and fine salt on medium-high until very thick, pale, and ribbony, about 5–7 minutes. This aeration gives you shiny tops and a fudgy center.
Mix in the chocolate: With the mixer on low, slowly stream in the lukewarm chocolate-butter mixture until combined. Scrape the bowl well.
Combine the dry ingredients: In a separate bowl, whisk the flour, cocoa powder, and cornstarch until evenly blended. Add to the batter and fold gently with a spatula just until no dry streaks remain. If using, fold in the extra chocolate chips or chunks.
Bake: Spread the thick batter evenly into the prepared sheet pan and smooth the surface. Sprinkle lightly with flaky sea salt if you like. Bake until the top is shiny and a toothpick inserted toward the center comes out with a few moist crumbs, 24–28 minutes. Do not overbake.
Cool and slice: Cool completely in the pan on a rack. For the cleanest cuts and extra-fudgy texture, chill for 30 minutes before slicing. Lift out using the parchment and cut into 24 squares with a hot, wiped knife or a plastic knife.