Khachapuri - Andrew & Everett Cheese

Ingredients

• 1/2 cup warm milk
• 1/3 cup warm water
• 1 1/2 tsp white sugar
• 1 .25 oz package active dry yeast
• 2 tsp olive oil
• 2 1/4 cups all-purpose flour (, divided )
• 1 1/2 tsp kosher salt
• 4 oz Andrew & Everett Shredded Colby Jack Cheese
• 4 oz Andrew & Everett® Shredded Mozzarella Cheese
• 8 oz feta cheese (, crumbled)
• 2 large eggs
• 1 tbsp butter (, cut into 4 pats)
• Sea salt (to taste)
• 1 pinch cayenne pepper (, or to taste)