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Step 1
In the bowl of an electric mixer fitted with the dough hook, combine flour, sugar, salt, and yeast.
Step 2
Stir together.
Step 3
Add egg yolks, vegetable oil, and water.
Step 4
Mix on low speed for 3 minutes.
Step 5
Increase speed to medium.
Step 6
Knead for an additional 5 minutes. (The dough should be smooth and shiny. You can use the windowpane test to check for proper gluten development.)
Step 7
Scrape dough into a large bowl.
Step 8
Cover with plastic wrap. (If using a proofing box with a water tray, there is no need to cover with plastic wrap.)
Step 9
Let rise at warm room temperature (78℉/26℃-80℉/27℃) for 2 hours.
Step 10
Turn dough out onto an unfloured surface.
Step 11
Degas by patting down gently.
Step 12
Divide into thirds.
Step 13
Form each third into a rectangle.
Step 14
Cover with a piece of plastic wrap or a damp tea towel.
Step 15
Allow dough to rest for 15 minutes.
Step 16
While dough is resting, make egg wash by whisking egg yolk and water together until thoroughly combined and smooth. Set aside.
Step 17
Working with one rectangle at a time, turn dough horizontally.
Step 18
Fold the top third down and the bottom third up.
Step 19
Turn over so seam is on bottom.
Step 20
Roll into a log that is 12 inches long.
Step 21
Place on a large sheet of parchment paper.
Step 22
Repeat with 2 remaining pieces of dough.
Step 23
Braid, making sure to seal and tuck ends under. (See step-by-step photos in post.)
Step 24
Make egg wash by whisking egg and water together in a small bowl until smooth.
Step 25
Brush dough with egg wash.
Step 26
Cover with plastic wrap that has been sprayed with cooking spray.
Step 27
Allow to rise in a warm place for 1 hour, until noticeably risen.
Step 28
While dough is proofing, heat oven to 350℉/177℃.
Step 29
Brush dough with egg wash again.
Step 30
Bake for 18-22 minutes, or until done (190℉/88℃).