In a large mixing bowl, combine 1 and 1/2 cups flour, sugar, yeast and the seasonings. In a small saucepan, heat milk, water, and the cubed butter until the mixture reaches 120 F.
Add the warm liquid mixture to the dry ingredients. Mix everything using a wooden spoon until the powders are moistened. Add egg and mix until smooth. Add the remaining flour sparingly until you form a soft dough. The dough should clean the sides of the bowl. You may not need the entire remaining amount.
On a floured board, knead the dough until it is smooth and can stretch thinly, about 4-6 minutes. Let the dough rest for ten minutes then divide into three portions. Shape each portion into a 15-inch rope.
Place the ropes on a baking sheet that is lined with parchment paper and braid. Tuck the ends under and cover with plastic. Let rise for 25 minutes, or until doubled in size.
Preheat oven to 375 F. Bake the braid for 20-25 minutes or until golden. Remove from oven and brush with melted butter.