Khachapuri (Georgian Cheese Bread)
1 (.25 ounce) package active dry yeast 1 pinch cayenne pepper, or to taste 1 tablespoon butter, cut into 4 pats 1 ½ teaspoons kosher salt 1 ½ teaspoons white sugar 2 large eggs 2 teaspoons olive oil 2 ¼ cups all-purpose flour, divided 4 ounces low-moisture mozzarella cheese, shre… 4 ounces Monterey Jack cheese, shredded 8 ounces feta cheese, crumbled sea salt to taste ½ cup warm milk ⅓ cup warm water