Preheat the oven to 350°F. Line one 8-by-8-inch baking pan with parchment paper, leaving an overhang, and lightly coat it with nonstick cooking spray.
In a large bowl, whisk 6 tablespoons melted, slightly cooled unsalted butter, 1 cup packed brown sugar, and 1/2 cup granulated sugar until smooth.
Whisk 1 cup + 3 tablespoons creamy peanut butter into the butter and sugar mixture until creamy and evenly blended.
Add 2 large eggs and 1 tablespoon vanilla extract. Whisk until the batter looks smooth and uniform.
Stir in 1 1/2 cups all-purpose flour, 1 teaspoon baking powder, 2 tablespoons cornstarch and 1/2 teaspoon salt just until the last dry streaks disappear. The batter will be very thick.
Gently fold 3/4 cup peanut butter chips through the thick batter until evenly scattered.
Press the full batch of batter evenly into the prepared 8-by-8-inch pan, pushing it into the corners and smoothing the top. Tip: Chill the batter 20–30 minutes before baking to prevent spreading and gives you: taller bars, denser chew, more even baking as PB batters respond really well to chilling if you wish
Bake at 350°F for 32 to 38 minutes. The center should look set and soft, and a toothpick should come out with a few moist crumbs rather than wet batter.
Cool the brownies in the 8-by-8-inch pan for at least 1 hour. Use the parchment overhang to lift out the slab, then cut it into 16 squares.