Giant Peanut Butter Sandwich Cookie

INGREDIENTS

3 1/2 cups

all-purpose flour, plus more for rolling (see Cook's Note)

2 tsp

baking soda

2 sticks

unsalted butter, at room temperature

1 cup

granulated sugar

1/2 cup

packed light brown sugar

1 1/2 cups

smooth peanut butter

large eggs

2 tsp

pure vanilla extract

1 1/2 cups

smooth peanut butter

1 1/2 sticks

unsalted butter, at room temperature

3 cups

confectioners' sugar