If using a bread machine, see the section below.
Heat the milk until it is almost boiling. Remove it from the heat once it starts to steam and small bubbles appear around the edges. Allow the milk to cool to lukewarm, about 80-90 degrees Fahrenheit.
In a small bowl, combine the lukewarm milk, yeast, and honey. Stir well and let the mixture sit for 5 minutes.
In a large bowl, combine 3 tablespoons of melted butter, the milk mixture, the room-temperature egg, salt, and half of the flour. Stir slowly until the mixture becomes smooth. Use a mixer with a dough hook or mix by hand. Gradually add the remaining flour and continue mixing until a dough forms.
Knead the dough for 8 minutes. Then transfer it to a floured surface and knead for a few more minutes until smooth and elastic.
Lightly spray a large bowl with cooking spray and place the dough inside. Cover with plastic wrap and allow it to rise in a warm place for one hour.
After the dough has risen, punch it down and roll it out on a lightly floured surface to about ½ inch thickness. Fold the dough in half and gently press the edges together to seal.
Cut the folded dough into 24 evenly sized squares. Place them on two lightly greased baking sheets. Cover the dough squares and let them rise again in a warm place for 30-40 minutes, until doubled in size.
Preheat the oven to 350 degrees Fahrenheit. Bake the rolls for 12-15 minutes, or until the tops turn a light golden brown.
While the rolls are baking, melt the remaining tablespoon of butter. Once baked, brush the tops of the rolls with the melted butter.
Serve warm, ideally with Copycat Texas Roadhouse Butter.

If using a bread machine:
Heat the milk until almost boiling. Remove from heat once it steams and small bubbles form on the sides. Let it cool to 80-90 degrees Fahrenheit.
Add the milk, honey, melted butter, egg, and salt to the bread machine. Add the flour, creating a small well in the center without letting any liquid enter this well. Place the yeast into the well.
Set the bread machine to the dough cycle and allow it to complete.
Once the dough cycle is finished, spray a large bowl with cooking spray and place the dough inside. Cover with plastic wrap or a damp cloth and allow it to rise for one hour in a warm place.
Punch down the dough and roll it out on a floured surface to about ½ inch thick. Fold the dough in half and gently press the edges to seal.
Cut into 24 evenly sized squares and place them onto two lightly greased baking sheets. Cover and let rise for 30-40 minutes, until doubled in size.
Preheat the oven to 350 degrees Fahrenheit and bake for 12-15 minutes until the tops are light golden brown.
Brush the rolls with the remaining melted butter after baking. Serve warm alongside Copycat Texas Roadhouse Butter.