In a small bowl, combine the lukewarm milk (around 110°F), 1 tablespoon of sugar and the yeast. Stir gently and let sit for 5-10 minutes until foamy and fragrant.
In a large mixing bowl, whisk together the remaining sugar, salt, and 2 cups of flour.
Add the activated yeast mixture, softened butter, and eggs. Beat with an electric mixer on medium speed for about 2 minutes, until smooth and well combined.
Gradually add the remaining flour, half a cup at a time, until the dough pulls away from the sides of the bowl.
Turn onto a lightly floured surface and knead for 6-8 minutes until smooth and elastic. The perfect dough should feel like a baby's earlobe—slightly tacky but not sticky.
Place the dough in a lightly greased bowl, turning once to coat both sides. Cover with a damp cloth and let rise in a warm spot (about 75°F) for about 1 hour, or until doubled in size.
Gently punch down the dough to release air bubbles. Divide into 15 equal portions (using a kitchen scale ensures consistency).
Shape each portion into a smooth ball by pulling the edges toward the bottom and pinching them together. Place rolls in a greased 9×13-inch baking dish, leaving space between each for expansion.
Cover shaped rolls and allow them to rise again until nearly doubled, approximately 30-40 minutes.
Preheat your oven to 375°F during the final 15 minutes of rising.
Just before baking, gently brush the tops with melted butter.
Bake for 22-25 minutes until deeply golden. The internal temperature should reach 190°F on an instant-read thermometer.
For that signature glossy finish, brush the hot rolls with additional melted butter immediately after removing from the oven.
Allow to cool slightly before serving warm.