Does breastfeeding really help baby from illness?

Just wondering what you guys think. My baby is 6 months and she is formula feed and has only had a cold, which was over a month ago. She also stays home with me so I am sure that helps but I might be going back to work and will need to start looking at options for daycare. I have heard formula feed babies get sick so much easier, but is that honestly true? Just makes me nervous if that really is the case😭

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