New seller, brand questions

We have a product we’re about to launch on Amazon and are finalizing the listing. We were going to list with brand registry, but realized that our brand name is not listed anywhere on the product or packaging. We only have the product’s name printed on both the item and box. I read that you can’t use a sticker for the brand, so that option is out. Should we just run this first batch as a generic and when (hopefully) we order the next batch, we can print the brand on the box and item? Rookie move I realize, but we need to sell the 1,000 one way or another.