Preheat oven to 450 degrees F.
Using dough, form a boat, or canoe shape with pointed ends and a wide center for the fillings.
Fill center with cheese, then arrange tomato slices on top. Brush dough with egg wash and allow it to rest for ten minutes.
Bake khachapuri for 15 minutes; remove from oven and crack egg into center and sprinkle with chili flakes. Cook another 5 or more minutes until egg is done to your likeness.
Garnish with micro herbs and edible flowers; serve while hot. Add a dollop of butter if desired.