Continuity mistake: When Maze says goodbye to Lucifer and takes off on her motorcycle, the cars around change. You can see 2 cars parked with a car next to it with its blinker on. Then there are 3 parked cars and the end one has its hatchback up. Then as she drives off, it's a van. In the next shot the van and hatchback are gone.
Continuity mistake: The squiggle that Lucifer draws over "Become God" on his checklist changes between shots.
Answer: At least as far as clothing goes, I was in regular clothes when my wife gave birth, only changing into scrubs when they thought we'd have to move to an operating room (but ended up not needing to), otherwise I'd just have stayed in them. The room was also pretty much a regular hospital room, but no doubt there were some birth-specific differences I wasn't aware of!