Bow-Tie Skillet Alfredo

bow-tie pasta (farfalle)

boneless, skinless chicken breasts 

Salt and freshly ground black pepper

butter 

olive oil

garlic, minced 

low-sodium chicken broth, plus more if needed for thinning

half-and-half 

heavy cream 

good-quality grated Parmesan

halved grape tomatoes 

baby spinach 

fresh parsley, minced