Preparing the Dough:
In a large bowl, combine 110°F (43°C) water, sugar, and yeast. Let foam for exactly 10 minutes—if no bubbles form, your yeast is inactive (start over with fresh yeast).
Whisk in egg, buttermilk, melted butter, salt, and vanilla.
Gradually add flour until the dough cleans the bowl's sides but still sticks slightly to your finger when touched (about 5-7 minutes with a mixer using the dough hook).
Rising and Shaping:
Transfer dough to a greased bowl, cover with a damp towel, and let rise in a turned-off oven with the light on for 1 hour, or until doubled in size.
Preheat the oven to 375°F (190°C).
Roll out the dough to about 1/4 inch thickness and cut into 1 1/2 inch squares using a pizza cutter or knife.
Baking:
Place the beignet squares on parchment-lined baking sheets, leaving about 1 inch between each piece.
Brush the tops lightly with milk.
Bake for 10–12 minutes. For extra crispness, rotate pans at the 6-minute mark for even browning, until deeply golden. Tap the bottom—it should sound hollow when done.
Finish & Serve:
Hold a fine-mesh sieve 12 inches above warm beignets and shake powdered sugar for snow-like coverage.
Serve within 15 minutes with café au lait for the authentic New Orleans experience.