Cheese & garlic tear ’n’ share bread

Name: Cheese & garlic tear ’n’ share bread
Cook time: 1 h 45 min
Total time: 1 h 45 min
Cuisine: European
Ingredients: 2 bulbs of garlic; extra virgin olive oil; 25 g Parmesan cheese; 1 x 125 g ball of mozzarella; 50 g blue cheese; ½ a bunch of fresh basil; 80 g unsalted butter (at room temperature); 450 g gluten-free white bread flour plus extra for dusting; 2 teaspoons fast-action yeast; 1 teaspoon gluten-free baking powder; 1 tablespoon sugar; 1 teaspoon sea salt; 1 large free-range egg; 1 large free-range egg white; 1 teaspoon white wine vinegar