Preheat the oven to 200℃.
Add the olive oil to the pan and let it warm up a little. Add in the leek and onion. Stir until the meat is browned, crumbly, and begins to stick slightly to the bottom of the pot.
Add the spices and continue sautéing for a few more minutes, stirring frequently. The mixture should have a dry and crumbly texture.
Remove from the heat, and let the minced meat cool for a bit. Then add the whisked egg, cheese, and grated carrot, stirring well to combine.
Place three phyllo sheets in the baking pan, one on top of the other, brushing each sheet lightly with melted butter.
Spoon the minced meat mixture onto the layered phyllo sheets. Spread it evenly into a neat rectangular shape, covering the whole pan with the filling
Fold the edges of the top three sheets together over the filling to form a loose envelope shape. Brush the surface with butter.
Then, fold the remaining sheets inward the same way. First, fold the two opposite sides, then the other two, while brushing each fold with butter as you go.
Pop it in the oven and bake for just about 35 minutes or until golden brown.