Babay is almost the same as baby, but in a cuter fashion to do so, thus gaining more of a relationship points than just a babe or normal baby would. It doesn't have to be to the sexual partner in your life, it could be to a friend.
Pajama casual is a term used when working from home and preparing for a video conference. All business above the waist and your pajama pants down below.
We have a Zoom meeting in a few minutes and I’ll probably go pajama casual.