Peanut Butter and Banana Pudding Pie

["Preheat the oven to 350 degrees F (175 degrees C).", "Whisk cookie crumbs, sugar, and salt for crust together in a medium bowl. Stir in the melted butter until mixture is coated and moist. Press the crumb mixture evenly along the bottom and up the sides of a 9-inch, deep-dish pie plate.", "Bake crust in the preheated oven until golden brown and firm, 10 to 12 minutes. Cool completely on a wire rack.", "Melt 1/2 cup of the peanut butter and butter for the peanut butter layer in a small saucepan over medium-low heat, whisking to combine. Once melted, set aside to cool slightly, about 2 minutes. Pour mixture into bottom of the cooled crust, carefully smoothing into an even layer with a silicone spatula. Arrange the banana slices in an even layer over the peanut butter.", "Combine the remaining ½ cup peanut butter and confectioners' sugar in a medium bowl. Cut the peanut butter into the sugar using a fork until a crumbly, streusel-like mixture forms; you will get about 2 scant cups of this mixture. Sprinkle about half of this mixture over the sliced bananas. Gently press with clean fingertips into a relatively even layer. Place pie in refrigerator while you make the pudding.", "Beat egg yolks for banana pudding layer with a whisk in a medium bowl until well combined; set aside. Whisk together the sugar, cornstarch, and salt in a medium saucepan to evenly combine. Whisk in half-and-half, making sure all ingredients are well distributed. Place the pan over medium heat; cook, stirring constantly, until mixture has thickened slightly and gently begins to simmer, about 10 minutes.", "Remove pan from heat and, while whisking rapidly, slowly drizzle about ½ to 1 cup of the hot cream mixture into the eggs to temper. Keep whisking until smooth and combined. Pour the egg mixture into the pan and return to medium heat. Cook, stirring constantly, until mixture thickens further, 3 to 6 minutes. Remove pan from heat and whisk in the butter, vanilla, and banana extract.", "Pour the pudding mixture into a large mixing bowl and press a sheet of plastic wrap onto the surface of the pudding to prevent a \"skin\"" from forming. Cool to room temperature