Thanks for playing!
Yeah, unfortunately there are some softlocks that we didn't get to patch in time (currently working on a post-rating period version to address those)
In general the side paths are pretty linear, and if a door leading out gets unlocked it's best to continue through the door soon as you can.
Otherwise make sure not to die while holding a key ^^;
Sorry about those, hope you have better luck with it if you try it again during the jam o/
(also there's supposed to be a checkpoint in the final room which has already been addressed for the post jam version, but feel free to just head back if you die after doing the event in the room (you'll know when you get there) (or just call it complete there, but there is a pretty cool ending screen Flinigan made if you go back)