In the bowl of a stand mixer, whisk together the flour paste from Step 1, water and vegetable oil. Then add the egg and egg yolks. Whisk well until combined
1 large egg, ¼ cup water, 2 tablespoons vegetable oil, 2 large egg yolks
Add the flour and yeast. Fit mixer with dough hook and mix on low speed until all flour is moistened, 3 to 4 minutes. Cover with a clean towel and let stand for 20 minutes
2 ¾ cups bread flour, 1 ¼ teaspoons instant yeast
After the 20 minutes, remove the towel and add the sugar and salt to the bowl. Knead on medium speed for 9 minutes. Dough should be wrapped around the dough hook without sticking to the bottom or sides of the bowl. If the dough is sticking, add more flour, 1 tablespoon at a time, up to ¼ cup more, allowing the flour to fully incorporate before adding more
¼ cup granulated sugar, 1 teaspoon kosher salt
Transfer the dough to a clean counter and lightly coat the now-empty mixing bowl with vegetable oil. Form the dough into a ball and return it to the oiled bowl, turning to coat all sides lightly in oil. Cover the bowl with plastic wrap. Let the dough rise until about doubled in volume, about 1-1 ½ hours
Line a rimmed baking sheet with parchment paper and stack on top of a second rimmed baking sheet to prevent the bottom of the bread from getting too browned or burnt. Set on your counter next to where you'll be shaping the dough
Remove the dough from the bowl onto clean counter and press into an 8-inch square, expelling as much air as possible
Cut the dough in half lengthwise to form 2 rectangles. Cut each rectangle in half lengthwise. You should have 4 equal strips of dough. Roll 1 strip of dough into a 16-inch rope. Continue rolling, tapering ends, until rope is 18 inches long. Repeat with remaining dough strips. Arrange ropes in plus-sign shape, with the ends overlapping in the center by ½ inch. Firmly press the center of the plus sign in the center to seal the ropes to each other and to the counter