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1
Preheat oven to 425 degrees. On a lightly floured work surface, roll out dough into a 14-inch round (1/4 inch thick). Fit dough into a 9-inch pie plate. Trim dough to extend above edges by 1 inch, fold under, and crimp. Prick bottom with a fork, and freeze until firm, about 15 minutes. Cut a large round of parchment paper (about 11 inches), and place in pie shell, allowing excess to extend above edges. Fill with pie weights. Freeze until cold, about 10 minutes.
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2
Bake crust 15 minutes. Reduce oven temperature to 375 degrees. Remove pie weights and parchment, and bake until golden brown, about 20 minutes more. Let cool on a wire rack.
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3
Make the filling: Combine granulated sugar, cornstarch, and salt in a bowl. Add egg yolks, and whisk until smooth. Bring milk to a simmer in a saucepan over medium heat. Add 1/2 cup milk to yolk mixture in a slow, steady stream, whisking constantly. Pour mixture into pan with hot milk, and cook, whisking constantly, until mixture begins to bubble and is very thick, about 6 minutes.
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4
Pour milk mixture through a large-mesh sieve into a bowl. Add butter, and stir until melted. Fold in bananas. Pour into crust. Place plastic wrap directly on surface of filling to prevent a skin from forming. Refrigerate for 2 hours.
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5
Make the topping: Beat together cream, sugar, and vanilla until soft peaks form. Spread whipped cream over filling. Using a rubber spatula or the back of a spoon, shape topping into peaks.
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6
Using a vegetable peeler, shave chocolate at a 45-degree angle, and scatter over pie. (You will only need about 1 ounce of chocolate for the shavings, but it will be easier to shave if you start with a larger piece than you need.) Serve.
