Place the water, egg, salt, evoo, flour, sugar and yeast in that order or according to manufacturer's instructions into the bread machine.
Turn the machine to dough cycle (or go ahead and set for regular white bread if you want to make a challah loaf).
When the machine beeps, remove dough to floured counter, preheat the oven to 350°F.
Divide the dough in thirds, divide each third into thirds again and proceed to braid as desired. Place on a baking sheet or loaf pan covered with parchment.
Cover loosely with plastic wrap and let rise until doubled in size.
Egg wash and place in oven, bake 15-20 minutes.