Cook the Book: Goat Cheese Brownies

2 cups all-purpose flour, plus more for the baking dish

4 ounces dark or bittersweet chocolate (between 60% and 72% cocoa solids), chopped

4 ounces unsweetened chocolate (sometimes called baking chocolate), chopped

1/2 teaspoon baking powder

1/2 teaspoon salt

8 ounces fresh chevre or soft goat cheese

1 3/4 cups sugar

1 large egg, at room temperature

4 large egg yolks, at room temperature

1 tablespoon vanilla extract