Adjaran Khachapuri

Name: Adjaran Khachapuri
Ingredients: 7 g (¼ oz) fast-acting dried yeast; 2 Tbsp. granulated sugar; 200 ml (⅓ pint) lukewarm water; 450 g (1 lb) organic white bread flour, plus extra for dusting; 10 g (¼ oz) fine sea salt; 100 g (about 3 oz) full-fat twaróg or ricotta cheese; 250 g (9 oz) Ogleshield, raclette, or a mixture of Edam and Cheddar, grated; 250 g (9 oz) feta cheese, crumbled; 10 g (¼ oz) unsalted butter, sliced into 6 pieces; 6 small eggs, plus 1 egg yolk