Make the meat sauce: Heat a deep pan over high heat and add the oil and the minced beef. Let it brown, without stirring, and when the meat is no longer red, stir with a wooden spatula and break any meat lumps. Cook until all the juices have evaporated, reduce heat to medium/high and add the onion the carrot, the bay leaves, the cinnamon stick, the allspice and the cloves. Stir for 5 minutes and add the wine. Wait for 1 minute for the alcohol to evaporate and add the tomato paste, the pureed tomatoes, the sugar, the salt and the pepper. When it starts to boil again, reduce heat to low and simmer until almost all of the liquids have evaporated (about 30 minutes). Remove and discard the bay leaves and the cinnamon stick.

In the meantime, make the pasta: Cook the pasta in a pot with salted water, until al dente, according to the packaging directions.

Make the béchamel sauce: Cook the flour with the oil in a large pot stirring continuously with a whisk until it starts to smell nutty. Remove from the heat and add the cinnamon, the nutmeg, and the salt. Whisk to combine and add the warm milk gradually, whisking constantly to prevent it from forming any lumps. At first it will thicken, but as you continue to add the milk it will loosen up. When all the milk is added, return to the stove and cook over medium heat, whisking constantly, until it thickens. When it starts to bubble, remove from the heat and let it sit on your counter for 5 minutes to cool a little. Add 1 cup of the grated cheese and the eggs and whisk quickly to combine.

Pour the béchamel sauce over the pasta, level with a spatula and sprinkle the surface with the remaining grated cheese.

Bake for 50-60 minutes or until the top is golden brown with dark spots all over the surface. Let it rest for 20-30 minutes before slicing for easier serving. Eat!