Sloppy Joe Shirred Eggs With Spinach

Name: Sloppy Joe Shirred Eggs With Spinach
Ingredients: 1 medium carrot, top removed and cut into about 6 pieces; 1 (14.5-ounce) can diced tomatoes, or 2 scant cups roughly chopped fresh tomatoes; 2 tablespoons extra virgin olive oil, divided; 3 garlic cloves, minced; 8 ounces fresh spinach (4 cups packed); 3 teaspoons kosher salt, divided; 1 pound ground turkey; 2 teaspoons ground cumin; 1 teaspoon smoked paprika; ½ teaspoon ground black pepper; ½ cup R-Rated Onions; 2 tablespoons red wine vinegar; 4 large eggs Parmigiano Reggiano, for serving (optional)