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1
Preheat the oven to 375u00b0 F. Line a baking sheet with parchment paper.
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2
In the bowl of an electric mixer fitted with the dough hook attachment, mix the flour, sugar, yeast, and salt to combine.
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3
Add the liquid ingredients (water, milk, honey, oil, and eggs), and continue to mix on low speed for 3 minutes. Raise the speed to medium and continue to mix for 5 minutes more.
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4
Transfer the dough to a large bowl lightly greased with non-stick spray. Cover loosely with plastic wrap and let rise at room temperature until double in size, about 1 hour.
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5
To braid the bread, turn out the dough onto a lightly floured surface. Divide it into three even pieces. Roll each piece into a log about 12 inches long. Pinch each piece together at the top to seal, leaving the bottom ends loose.
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6
Braid the bread just as you would strands of hair: Move the right hand piece to the middle, then the left hand piece to the middle -- and so on and so forth until all of the dough is braided.
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7
Transfer the loaf to a the prepared baking sheet, and cover loosely with plastic wrap. Let rise for 30 to 45 minutes more.
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8
Brush the egg wash onto the loaf just before baking. Bake the loaf until deeply golden brown and fully baked through, 40 to 50 minutes. Cool before slicing and serving.