In the bowl of a stand mixer fitted with a bread hook attachment, stir together the milk, yeast and 1 tbsp of the sugar. Cover and let it sit for 5 or so minutes, then add 1 cup of the bread flour, the egg, the butter (sliced into 4 pieces), the additional 1 tbsp of sugar and the salt. Beat on low speed for 30 seconds or so, until combined, then scrape down the sides of the bowl and add the additional 2 cups of bread flour.

Beat on medium speed until the dough comes together and pulls away from the sides and bottom of the bowl. If needed, add about 1/4-1/2 cup more bread flour to get it to the right consistency. Keep the mixer going for another 2 or so minutes, to knead the dough. Place the dough into a bowl thats been lightly greased with oil and turn it all around so the dough is lightly coated in the oil. Then place a clean kitchen towel over the top and let the dough rise for 2-ish hours, until double in size.

If you wanted to prepare the rolls in advance: prepare the dough, do the 1st rise and divide the dough into 15 pieces. Shape the rolls, place into the pan, then cover them tightly and place them into the fridge for up to 16 hours. Take them out at least 3 hours before you need them, let them rise, covered, for 1-2 hours, then bake as directed.