Combine 2 1/4 cups of the flour, the white sugar, salt and yeast in a large bowl or the bowl of your stand mixer. In a small saucepan, heat the water, milk and 2 Tbsp. of the butter until just hot to the touch. Stir into dry ingredients, then add egg. Mix in enough of the remaining flour to make it soft dough. Knead on a floured surface until smooth and elastic. Cover and let stand for 10 minutes.
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