Does the hospital give you or put your baby in a onsie just after birth for you to keep?

I live in the US, Kentucky to be exact. I'm currently 33w6d & first time mom. I've seen a few people on here saying that the hospital put a onsie on their baby shortly after birth that come from the hospital, I've never heard of that before. I know they put a hat on the baby & wrap them up but never a onsie or outfit from the hospital. I'm just very curious about all this.

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