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 rough dough forms and all flour is incorporated.
03 - With mixer on medium speed, add butter cubes one at a time, waiting for each to fully incorporate before adding the next. Knead for 8-10 minutes until smooth and elastic.
04 - Transfer dough to lightly greased bowl. Cover and let rise in warm place for 1-1.5 hours until doubled in size.
05 - Punch down dough and divide into 12 equal pieces. Shape each into smooth, tight ball.
06 - Arrange balls in greased 9x13-inch baking pan or on lined baking sheet, spacing slightly apart. Cover and let rise 45-60 minutes until puffy.
07 - Preheat oven to 350°F.
08 - Whisk together egg and milk. Brush tops of rolls gently with egg wash mixture.
09 - Bake for 18-22 minutes until golden brown and cooked through.
10 - Cool slightly before serving warm.