4 large eggs, lightly beaten
2 teaspoons kosher salt
1/2 cup (1 stick) unsalted butter, cut into 16 pieces, at room temperature, plus more for greasing the bowl
2/3 cup whole milk
1/4 cup plus 1 teaspoon granulated sugar
4 to 4 1/2 cups all-purpose flour
1 (1/4-ounce) packet active dry yeast (2 1/4 teaspoons)