Pour the milk into a small saucepan and place it over medium heat. Frequently stir until it reaches a simmer, ensuring small bubbles appear around the edges. Once achieved, transfer the milk to another container to allow it to cool for approximately 10 minutes.

In the bowl of a stand mixer or a large mixing bowl, combine the water, yeast, and 1 TBS of sugar. Mix them and let the mixture stand for 5 to 10 minutes until it exhibits a foamy appearance.

To the activated yeast mixture, add the remaining sugar, honey, cooled milk, and 2 cups of the flour. Blend the mixture thoroughly for several minutes.

Incorporate the melted butter, eggs, and salt into the mixture and ensure even distribution.

Gradually introduce the remaining flour, one cup at a time, until the dough starts to detach from the bowl's sides. If the dough remains sticky, add flour in 1 TBS increments until the desired consistency is achieved.

Allow the dough to rest momentarily.

Proceed to knead the dough, either utilizing the stand mixer's dough hook or manually on a counter, for a duration of 5 minutes. If the dough exhibits a sticky texture during kneading, introduce additional flour in small amounts.

Place the dough in a bowl that has been greased with oil or a non-stick agent. Ensure all sides of the dough are lightly coated with the greasing agent. Cover the bowl with plastic wrap.

Position the bowl in a warm location and let the dough rise. This process may take up to 45 minutes or until the dough has doubled in volume.

Once risen, deflate the dough to release any trapped air.

On a flat surface, roll out the dough to a thickness of approximately 1/2 to 3/4 inch.

Utilizing a pizza cutter, segment the dough into 2-inch squares.

Arrange the squares on two baking sheets lined with parchment paper or a similar non-stick surface. Cover them loosely with plastic wrap.

Allow the rolls to undergo a secondary rise until they have again doubled in volume. This may take approximately 1 hour.

As the final stages of rising approach, preheat the oven to 350 degrees Fahrenheit.

Bake the rolls in the preheated oven until they achieve a light golden-brown hue, which typically occurs between 14-18 minutes. If baking multiple trays simultaneously, consider rotating them during the process to ensure even baking.

Upon removing from the oven, promptly brush the top surfaces of the rolls with the melted butter.