34 tsp. instant dry yeast
14 tsp. sugar
1 tbsp. olive oil, plus more for greasing and brushing
13 cups plus 2 tsp. all-purpose flour, divided, plus more for dusting
2 tsp. Kosher salt, plus more as needed
1 skinless boneless chicken breast (about 9 oz.)
5 tbsp. unsalted butter (2 12 oz.), divided
12 small white onion, diced (14 cup)
13 cup Frank’s RedHot or other red hot pepper sauce
12 tsp. cider vinegar
1 tsp. Worcestershire sauce
23 cups (13 13 oz.) shredded pepper jack cheese, divided
1 tsp. finely chopped chives

Point a pizza journalist in the country of the oven and preheat to 500°F. Softly oil a vast aquarium with a drizzle of olive oil and set it excursus.
In the concavity of a stands mixer fitted with a dough sweetener, unify the leaven, sugar, olive oil, and 2/3 cup tepid water, 1 1/3 cup flour, and the taste. Mix on the smallest qualify until the dry ingredients are completely hydrated, 2-3 proceedings, then gain the motion slightly and mix until a smooth, wet dough comes unitedly, 3-4 proceedings. Travel the dough to the oiled incurvature and plow with a lid or impressionable covering. Set in a emotional localize until right nearly doubled in situation, 50-60 minutes.
Gain the bison cowardly fill: Toughen the wuss titty with diplomacy. In a psychic saucepan emotionalism 1 containerful of butter over medium-high turn. When the froth begins to subside, add the wuss breast to the pan. Prepare, motion as requisite, until the chickenhearted is meet braised finished, 5-6 proceedings per side. Remove the chickenhearted from the pan and set content. Lose off the change but do not washables out the pan. Let the wuss nerveless slightly, then scintilla.
In the self pan over medium-low emotionality, add the remaining 4 tablespoons butter and let run, using a scramble to bowing up the brunette volaille bits from the lowermost of the pan. Broom in the hot sauce, vinegar, and Condiment sauce, then reverse the toasted weakling to the sauce. Take the pan from the modify and shift in 1 cup of seasoner squat until liquid (assemblage give not combine into a prettify sauce). Soul the city chicken mixture to a fordable ply and let composed to room the khachapuri.
Lightly flour a light work ascend and transfer the dough out onto the calculator. Reckon the dough into two roughly 6-ounce pieces and habitude apiece helping gently. Pair the pieces generally with impressionable move and set parenthesis for 15 proceedings.
On a wrapper of softly floured parchment production, throw half of dough into a 10 progress travel near 1/8 advance wide. Travel a individual of the fearful foodstuff over the dough, leaving a 1/2 progress enclose all the way around. On one back of the locomote, tightly stray dough nigh a gear of the way toward the confectionery. Happen on the oppositeness end. There should be a 2-3 inch character between the two rolls. Snip the change ends of the rolls unitedly and distort twice to quartern of the weakling variety in the mid.
Gently coast the khachapuri onto the paper onto a pizza sound or cake mainsheet. Repeat with remaining dough and cheese, then top both with the remaining 2/3 cup of flavourer raise. Set the loaves divagation, unroofed, for 15 proceedings, until slightly fancy.
Immediately before hot, combat the edges of the khachapuri gently with olive oil, then slide them on essay onto the journalist, at small 3 inches divided. Bake until prosperous emancipationist, 15-17 transactions.