Put the eggs, grated cheese and grainy cream cheese in a bowl and stir. Cut the zucchini into small cubes, wash the peppers and cut into small cubes and wash and quarter the cherry tomatoes. Add the vegetables to the egg mixture, season with sea salt, pepper and cayenne pepper and stir well. Place the mixture on a baking sheet lined with baking paper and distribute it evenly. Put the tray in the oven for 20 minutes.
Melt the coconut oil in the pan and fry the gyros in it. Place the meat on the finished base, sprinkle with grated cheese and place the pizza in the oven for another 5 - 10 minutes, until the cheese is golden brown.