Homemade Peanut Butter Cookie Dough Oreos

For the Oreo cookies:

• 1 cup all-purpose flour plus 2 tablespoons
• 1/2 cup unsweetened Dutch-process cocoa powder plus 2 tablespoons
• 1 teaspoon baking soda
• 1/4 teaspoon baking powder
• 1/4 teaspoon salt fine
• 1 cup granulated sugar
• 10 tablespoons unsalted butter 5 ounces, at room temperature
• 1 egg large

For the peanut butter cookie dough filling:

• 4 tablespoons unsalted butter 2 ounces, at room temperature
• 1/2 cup peanut butter creamy
• 1/4 cup light brown sugar lightly packed
• 2 tablespoons granulated sugar
• 1/4 cup milk any kind
• 1/2 teaspoon vanilla extract
• 1 1/4 cups all-purpose flour
• 1/8 teaspoon salt fine
• 1/2 cup miniature chocolate chips