01 - In stand mixer bowl, combine flour, sugar, yeast, and salt. Mix briefly to distribute evenly.
02 - Add eggs and lukewarm milk. Mix on low speed until a shaggy dough forms and no dry flour remains.
03 - With mixer on medium speed, add butter one cube at a time, waiting for each piece to fully incorporate before adding the next. Continue kneading for 8–10 minutes until dough is smooth, glossy, and pulls away from bowl sides.
04 - Transfer dough to a lightly greased bowl, turning to coat all sides. Cover with plastic wrap and let rise in a warm, draft-free area for 1–1.5 hours until doubled in size.
05 - Punch down risen dough to release air. Divide into 12 equal portions and shape each into a smooth, taut ball by folding edges underneath.
06 - Arrange rolls in a greased 9x13-inch baking pan or on a parchment-lined baking sheet, leaving slight space between each. Cover and let rise for 45–60 minutes until puffy and increased by half.
07 - Preheat oven to 350°F.
08 - Whisk egg and milk together until blended. Brush tops of rolls gently with egg wash, avoiding excess pooling.
09 - Bake for 18–22 minutes until deep golden brown and rolls sound hollow when tapped. Internal temperature should reach 190°F.
10 - Let rolls cool in pan for 10 minutes before transferring to wire rack. Serve warm or at room temperature.