Weigh out the products. Leave them on the counter so they are at the same temperature. Wash the potatoes and boil them with their skins on.
Dissolve the yeast in warm water with added sugar, wait until it dissolves. Then add milk, egg, sunflower oil, add flour in parts and knead the dough. Lubricate your hands with vegetable oil, then it will not stick to your hands and knead well. Leave the dough to rise for 1.5 hours.
Peel the warm boiled potatoes and mash them into a puree, add cheese, pepper, salt and a piece of butter, mash.
Divide the dough into 4 parts. Roll out each flatbread, place ¼ of the filling in the middle, and pinch in a circle. Using your hands, knead from the center, and then with a rolling pin along the edges so that the cake has a diameter of 26-28 mm. Preheat the oven to 200 degrees and bake for 15-20 minutes. Immediately from the oven, brush the pie with butter.
Cut the pie into neat pieces and place on a plate. Garnish as you wish with basil and tomato slices.