01 - In a large bowl, dissolve the yeast in the warm water. Let sit for 5 minutes until foamy.
02 - Add the sugar, salt, melted butter, milk, and egg to the yeast mixture. Mix well.
03 - Gradually stir in the flour until a soft, slightly sticky dough forms.
04 - Turn the dough onto a floured surface and knead for about 5 minutes until smooth and elastic.
05 - Place the dough in a greased bowl, cover, and let rise in a warm place for 1 hour, or until doubled in size.
06 - Punch down the dough and roll it out on a floured surface to about 1/2-inch thickness. Using a sharp knife or pizza cutter, cut the dough into strips about 1/2 inch wide and 3 inches long to form fries.
07 - Heat 2–3 inches of vegetable oil in a deep pot to 350°F (175°C).
08 - Fry the dough strips in batches, turning occasionally, until golden brown and puffed (about 2–3 minutes per batch). Remove with a slotted spoon and drain on paper towels.
09 - While still warm, generously dust the beignet fries with powdered sugar. Serve immediately.