Heat the oven to 325°F (165°C). Spread the coconut in a thin layer on a rimmed baking sheet and toast for 7 to 9 minutes, stirring every 2 to 3 minutes, until fragrant and lightly golden rather than dark brown. Transfer it immediately to a plate so residual heat does not burn it. Increase the oven to 350°F (175°C). Lightly grease a 9-inch square metal pan, line it with parchment, and leave overhang on two sides for lifting.
Place the butter and chopped bittersweet chocolate in a large heatproof bowl. Set the bowl over a saucepan containing about 1 inch of barely simmering water, making sure the bowl does not touch the water. Stir with a silicone spatula until approximately three-quarters melted, then remove from the heat and continue stirring until completely smooth. Let the mixture stand for 5 minutes. It should remain fluid and warm, not piping hot, so it combines with the eggs without overheating them.
Combine the granulated sugar, brown sugar, eggs, and vanilla in a medium bowl. Whisk firmly by hand for about 90 seconds, breaking apart any brown sugar lumps, until the mixture looks cohesive, slightly thickened, and glossy. It should fall from the whisk in a continuous stream but does not need to reach a pale ribbon stage. Excessive aeration can produce a lighter, cakier center, so stop once the sugars are evenly suspended and the egg whites are no longer visibly ropy.
Slowly pour the warm chocolate mixture into the egg mixture while whisking gently until the color is even and no oily streaks remain. Sift the flour, cocoa powder, and salt directly over the bowl. Switch to a silicone spatula and fold from the bottom just until a few flour streaks remain. Add 60 g of the toasted coconut and fold only until evenly distributed. The finished batter should be thick, shiny, and slow-moving, with no dry pockets around the bottom or sides of the bowl.
Scrape the batter into the prepared pan and spread it into an even layer, pushing it fully into the corners without repeatedly working the surface. Sprinkle the remaining 30 g toasted coconut evenly over the top and press it very lightly into the batter. Bake at 350°F (175°C) for 27 to 31 minutes. The edges should look set and slightly raised, while the center appears softly puffed without liquid movement. A toothpick inserted near the center should hold moist fudgy crumbs, not shiny wet batter.
Set the pan on a wire rack and cool the brownies completely in the pan for 2 hours. Do not lift them while warm because the chocolate-rich center is still setting and may buckle. Refrigerate the cooled slab for 30 minutes, then lift it out using the parchment overhang. Peel away the paper and cut into 16 squares with a large chef’s knife. For clean edges, warm the blade under hot water, dry it completely, and wipe it clean between every cut.