Duplicate content spanning multiple URLs

Hi there, I'm a marketing professional for a food manufacturing company. We have multiple brands with different domains, the problem is, we have our umbrella domain which for the sake of not saying where I work, we'll call Site A. Site A houses all of our products and has product pages for items featured on separate domains that we'll call Site B and Site C. What I'm wondering is, say I want a product that is branded from Site B, to be the top result, but I want to add a page to Site C with the same product, thus likely having the same meta description. If I make that product page on Site C, I'm concerned that it may outrank what is already established on Site B.

Is this likely? Or is there a way to avoid it? It's not a necessary page, but it would help to advertise this product on Site C since it's for a store (that we own) rather than the production company as a whole. If it's going to cause issues, I just won't make this new page. But interested to hear people's thoughts.

Also please let me know if I did a crap job of explaining this and I can elaborate in the comments. Any help or suggestions would be greatly appreciated!