For the Flour Paste: ½ cup water 3 tablespoons bread flour For the Dough: 1 large egg plus 2 large egg yolks ¼ cup water 2 tablespoons vegetable oil 2 ¾ cups bread flour 1 ¼ teaspoons instant or rapid-rise yeast ¼ cup granulated sugar 1 teaspoon kosher salt Vegetable oil spray For the Egg Wash: 1 large egg Pinch of kosher salt 1 tablespoon sesame seeds, poppy seeds, and/or Everything Bagel Seasoning (optional)