01 - Dissolve yeast in warm water with a pinch of sugar in a large bowl. Let stand for 5 minutes until foamy.
02 - Stir in remaining sugar, salt, egg, and milk. Add half the flour and mix until smooth.
03 - Add melted butter and remaining flour. Mix until sticky dough forms.
04 - Turn dough onto floured surface. Knead for 3-4 minutes until smooth and elastic.
05 - Place dough in greased bowl, cover, and let rise in warm place until doubled, about 1 hour.
06 - Punch down dough. On floured surface, roll to 1/4-inch thickness. Cut into 2-inch squares.
07 - Heat 2 inches vegetable oil in deep pot to 350°F.
08 - Fry beignets in batches, 1-2 minutes per side until golden brown and puffy. Remove with slotted spoon and drain on paper towels.
09 - While warm, dust generously with powdered sugar.
10 - Heat cream in small saucepan until just simmering. Remove from heat; add chocolate, butter, vanilla, and corn syrup. Let sit 1 minute, then whisk until smooth.