In a large mixing bowl, combine 2 1/4 cup flour, yeast, sugar and salt; mix well. Add water, egg and the milk mixture; beat well. Add the remaining flour, 1/2 cup at a time, stirring well after each addition. When the dough has just pulled together, turn it out onto a lightly floured surface and knead until smooth, about 5 minutes. Cover the dough with a damp cloth and let rest for 10 minutes.