Punch down the dough and divide it into four equal pieces. Use a bench scraper to cut the dough and a digital scale to weigh the pieces to make this process much easier.
Roll each piece into a rope about 20-22 inches long. If the dough is sticking to the work surface, add a light sprinkling of flour. If the ropes are tight and not rolling out well, let them rest for a minute and try again.
Braid the four strands together. Start by lining them up vertically and squeezing them together at the top. Think of the strands in positions 1-4, from left to right. Move the strand in position 4 over the strand in position 3, then move the strand in position 2 over the strand in position 1. Move the strand in position 2 over the one in position 3. Repeat this pattern until the whole loaf is braided.
Place the loaf on a large, parchment-lined cookie sheet and cover with plastic wrap. Let the loaf rise until it is springy to the touch, about 30 minutes. Preheat the oven to 400°F.
Just before putting the bread in the oven, brush the crust with the egg white and generously sprinkle on the everything bagel seasoning.
Bake at 400°F for 20-25 minutes, or until the bread is browned and has an internal temperature of 190-200°F on a digital thermometer.
Let it cool completely on a wire rack, about 1 hour, before slicing and serving.