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1. Mix Dry Ingredients: In a medium saucepan, whisk together sugar, cocoa powder, and flour.
2. Add Wet Ingredients: Slowly whisk in milk and egg yolks until smooth.
3. Cook the Filling: Place the saucepan over medium heat, stirring constantly. Cook until the mixture thickens and begins to bubble, about 7-10 minutes.
4. Add Butter and Vanilla: Remove the saucepan from the heat. Stir in butter and vanilla extract until fully combined.
5. Fill the Pie Crust: Pour the chocolate filling into the prepared pie crust. Smooth the top with a spatula.
6. Chill: Let the pie cool to room temperature, then refrigerate for at least 2 hours until the filling is set.
7. Serve: Slice and serve with a dollop of whipped cream, if desired.