In a bowl, combine the warm water, sugar, and yeast. Stir gently and let it sit for 5–10 minutes, until the mixture becomes foamy.
Add the eggs, egg yolk, vegetable oil, and salt to the bowl. Mix well. Slowly add the flour, a little at a time, until a dough starts to form.
Knead the dough for 8–10 minutes, until it feels smooth and stretchy.
Place the dough in a greased bowl, cover it, and let it rise for 1–2 hours, or until it has doubled in size.
Gently punch down the dough. Divide it into 3 equal portions. Roll each portion into a long rope, then braid the ropes together to form a loaf.
Place the braided dough on a baking sheet lined with parchment paper.
Cover lightly and let it rise for another 45 minutes.
Preheat the oven to 180°C (350°F). Brush the loaf with the reserved egg white. Bake for 25–30 minutes, until the bread is golden brown and sounds hollow when tapped.
Let the bread cool before slicing.