No. There are only a few Autosaves, and they write over the old ones. I've played til the end of 13th day. So the Escape Room is long gone now. I don't even recall which day it was on.
That's strange... it should still be there. There's an autosave at the start of Day 12 and right before the escape room. I don't know how it would get overwritten.
Unrelated to that, I've seen some people bothered by the amount of sexual content in the game. The good news is that Days 14-16 has more sexual content by a huge margin when compared to the other updates/base game. And I mean sex, not just blowjobs or handjobs or whatever. More animations, more sex, including a threesome or two (or three?).
The escape room was the night of Day 12, going into Day 13. I have no idea how many autosaves are created during a single in-game day, but if it doesn't exist for you, I guess it doesn't exist. I'm attaching 2 saves, both at the very beginning of the escape room puzzle. The first is with all A (left-side) choices when there's a "MAJOR CHOICE" screen; the second is with all B (right-side) choices.
You will need to rename the files after downloading them; I gave these attachments names that hopefully help you determine which choices they give when downloaded. Once renamed, they should be in this format:
[Page]-[Slot]-LT1.save
[Page] is the page in your saves lists (
1 would show up on Page 1, etc.), and
[Slot] is the space on the page (1–3 on top, 4–6 on bottom). So
4-2-LT1.save would be the middle top spot of Page 4, for instance.
Hopefully those help. However, since I made those choices myself, you'll be stuck with decisions I made unless you want to try to use
a save editor and change them yourself.