Bacon, Oatmeal, and Raisin Cookies

• 8 ounces sliced bacon, cut into 1/4" squares
• 2 1/4 cups cake flour
• 1 teaspoon baking powder
• 1 teaspoon kosher salt
• 1/2 teaspoon baking soda
• 1 cup (packed) dark brown sugar
• 2/3 cup sugar
• 1/2 cup (1 stick) unsalted butter, room temperature
• 2 large eggs
• 1/2 teaspoon vanilla extract
• 1 cup old-fashioned oats
• 2/3 cup raisins