Confused about the color box for my product

Hi. I was hoping someone could answer this question for me. The answer is probably out there but I’m too stupid to look for it. I am getting a product made for private label but I will be sending it through Amazon FBA. For this product, I am getting a color box made. I was wondering if I need any barcode printed on the color box as I am confused about whether I need a UPC or ASIN on the color box. Whichever one I need, how do I go to ask my supplier to place it on the products?

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Thanks in advance 🙂