So my baby has caught a cold that’s been passing around my house, no fever but her nose is clogged.…

So my baby has caught a cold that’s been passing around my house, no fever but her nose is clogged. I’ve been using saline drops and the nose bulb plus baby Vick’s, she doesn’t like my breast milk and refuses to drink it unless I mix it with formula. Would it still be effective to help her combat this cold to pump and mix my milk with formula?