In a large mixing bowl, whisk together the flour, granulated sugar, salt, and yeast until well combined. In another bowl, combine warm milk, melted butter, and the egg, whisking until smooth. Pour the wet ingredients into the dry mixture and stir until a thick and sticky dough forms.

Dust a clean work surface with flour and transfer the sticky dough onto it. Gradually add flour as needed while kneading the dough for about 8-10 minutes until smooth and elastic.

Allow the dough to rest for about 10-15 minutes in a warm area. It should puff up slightly.

On a floured surface, gently roll the dough into a rectangle, brush with melted butter and sprinkle with brown sugar and cinnamon. Roll tightly from one long side and slice into 12 equal pieces.

Place the sliced rolls in a greased baking dish, cover, and set aside in a warm place to rise for 30-45 minutes.

Preheat oven to 350°F (175°C). Bake the rolls for 20-25 minutes until golden brown.

Prepare the frosting by whisking cream cheese and powdered sugar until smooth. Allow the baked rolls to cool slightly, then spread frosting generously over the warm rolls.