Hi, thanks for the feedback!
You are able to save in the carrot room, but since it isn't very clear that you can, I'll add an option to save before you leave.
I really wanted to modify the save system for my game - I wanted to make a fresh autosave directly before each story choice - but I realized too late that would require learning a new plugin. So I had to settle for just letting the default autosave do its thing.
(Which is not exactly well tested in my project. Don't look too closely at the upper-left corner of some rooms after loading. Sometimes copies of the three protagonists are just... hanging out. In the walls.)