1 large onion or 2 small, cut into 1-inch dice
2 large carrots, cut into 1/2-inch dice
3 ribs celery, cut into 1-inch dice
4 cloves garlic
Extra-virgin olive oil, for the pan
Kosher salt
3 pounds ground chuck, brisket or round or combination
2 cups tomato paste
3 cups hearty red wine
Water
3 bay leaves
1 bunch thyme, tied in a bundle
1 pound spaghetti
1/2 cup grated Parmigiano-Reggiano
High quality extra-virgin olive oil, for finishing