Tag-Team Snuggling

Since Sofi prefers to sleep on the mattress on the floor of her bedroom, we can both snuggle her at the same time at bedtime, but she usually prefers to send me away. "Go away daddy!" And then she asks for me later when she's done with mama.
Just found out at a party last weekend that we're not the only parents who do this, who get the "Go away daddy" and do the tag-team snuggling thing.