Pistachio Cookies with Dark Chocolate Covered Pomegranate

INGREDIENTS

2 cups

minus 2 tablespoons (8 1/2 ounces) cake flour

1 2/3 cups

bread flour

1 1/4 tsp

baking soda

1 1/2 tsp

baking powder

1 1/2 tsp

coarse salt

2 1/2 sticks

unsalted butter, room temperature

1 1/4 cups

light brown sugar

1 cup

plus 2 tablespoons (8 ounces) granulated sugar

large eggs room temperature

2 tsp

pure vanilla extract

3/4 cup

shelled roasted pistachios; coarsely chopped

1/2 cup

dark chocolate chips

1 cup

dark chocolate covered pomegranate, coarsely chopped (see note below)