Preheat your oven to 200º F, then turn it off; if you have a warming drawer, you may set that to low/moist setting instead. Prepare a baking sheet by lining it with parchment paper.
In a small bowl, mix together ~1/3 cup (5 Tbs) warm water, yeast and 1 teaspoon of sugar to prove the yeast; set aside.
In the bowl of your stand mixer, add the remaining wet ingredients (remaining 5 Tbs water, yogurt, cider vinegar, egg yolks, oil, honey) and mix until combined.
Whisk together the dry ingredients in a separate bowl (gfJules Flour; psyllium, 3Tbs + 2 tsp. sugar; salt).
After 5 minutes of proofing, stir in the bubbling yeast-water mixture into the wet ingredients (note: if your yeast isn’t bubbling at this point, throw it out and start again with fresh yeast).
Gradually stir the dry ingredients into the wet until fully integrated, adding more warm water by the tablespoon only as needed to get the dough soft and so that the dough is not tight or stiff — you should be able to pull the dough gently without it feeling tight or like it would bounce back — if it’s stiff, add more warm water then mix 1-2 minutes more on medium speed to integrate the additional water. The dough should be workable; keep in mind you will be braiding it, so it can't be too loose or too tight (think of Goldilocks dough!)
Once the dough is combined, divide it in half and divide each half into three equal-sized balls. The dough will be sticky, so use extra gfJules Flour on your hands and rolling surface (I like using a
bench scraper like this one to help me cut and roll the sticky dough).
Roll each ball out into an 18-inch coil or log on a clean, flat surface dusted lightly with gfJules Flour. If you have trouble rolling because you've used too much flour, dab a bit of water onto the counter or mat.
Pinch together one end of each coil, wetting them slightly with water to help them join together at the top, then braid them, finishing by connecting them to the top of the other end in order to form a crown, or circular shape, or simply leave as a long braid.
Gently transfer to the parchment-lined baking sheet. Repeat for the second set of three balls. In the alternative, you can simply divide the dough in half, roll out into a flattened coil, then twist the coil upon itself and join at the ends to form a circular loaf; repeat with the other half of the dough ball.
In a small bowl, mix the extra egg (at room temperature) together and brush over each loaf, coating the entire surface. Sprinkle the seeds or any toppings at this point, then place the tray (covering the loaves with wax paper sprayed with cooking oil) in a warming drawer set to low heat, or into a warm location for 20 – 30 minutes. (Don’t expect the bread to rise much at this stage).
Once risen slightly, place the uncovered tray in an oven preheated to 350º F (static) or 325º F (convection) for 20 minutes or until a toothpick inserted into the center of the bread comes out dry, or with some crumbs attached but no wet dough.
Remove to cool on a wire rack.