Huh, I had no idea there was a save point there. Though to be fair, there's no player feedback that you should interact with it.
In regards to overlooking things, the safe in the library is obscure to find. The note doesn't have information about it's location, just a hint to the password.
I spent about an hour going through every floor and room looking for the "legs" (I think ) before interacting with every nook and cranny in the library.
Here's another bug that gets you stuck. Going left of this room gets you stuck in the lockers