Prepare the Dough: In a bowl, combine warm milk, sugar, and yeast. Let it sit until frothy.
Mix Ingredients: Add flour, salt, melted butter, and eggs to the yeast mixture. Mix until a dough forms.
Knead the Dough: Knead the dough on a floured surface until smooth and elastic.
Let it Rise: Place the dough in a greased bowl, cover, and let it rise until doubled in size.
Prepare Filling: Mix chopped pistachios and vanilla extract in a bowl.
Shape the Loaf: Roll out the dough, spread the pistachio mixture, and braid it.
Final Rise: Let the braided loaf rise again for about 30 minutes.
Bake: Preheat the oven to 350°F (175°C) and bake for 25-30 minutes.
Cool and Dust: Let the loaf cool, then dust with powdered sugar before serving.