The short look at enemy positions is a really good idea. You can already kinda do that by clicking the door and then the restart button, so the lack of information is an artificial restriction already. Another approach would be to always show the entire level layout but limit the total number of actions you can take (or set limits on the individual actions), leaning in to the puzzle aspect a bit more.
The icon hover/tooltip idea is good as well. I'll put that and the tutorial level on the feature list.
Thank you for the feedback!