Creamy Tuscan Chicken Pasta

Name: Creamy Tuscan Chicken Pasta
Ingredients: 1 (7- to 8-ounce) jar oil-packed sun-dried tomatoes; 3 cloves garlic; 1 tablespoon fresh rosemary leaves; 2 ounces Parmesan cheese (about 1 cup), plus more for serving; 2 boneless, skinless chicken breasts (about 1 pound total); 1 pound dried penne pasta; 1 tablespoon olive oil; Kosher salt; 1/4 teaspoon freshly ground black pepper; 4 slices bacon (not thick-cut, about 5 ounces); 2 (14.5-ounce) cans diced tomatoes; 5 ounces baby spinach (about 5 cups); 1 cup heavy cream