Thanks so much for the advice and the stars!
"Hmm, ideas... When you die, even if you would start back with the map you discovered, there will still be more unknown area to discover, and discovering is still dangerous. I already find how to handle the monster by turning around a rectangle at the start anyway, but you don't go further when you do that. Exploring is still what you have to do and is still dangerous
Eventually, to put some pressure on what you control, the map you would keep after dying would slowly fade, that way you can't just die and retry to show slowly bit by bit the map. Like, let's say a white wall you have discovered three death ago will finally disappear?"
Just to clarify, are you saying that the map from a previous run stays on the next one, but it disappears after some time, or it disappears after you die again, or in two deaths from then?
"another idea while I was closing the tab, what about a light checkpoint? Not that you respawn at it like traditional checkpoint, but just some kind of landmark in the dark void. It would also add some feeling of progress maybe."
Would you mind elaborating? Does the checkpoint save the map? Does it make you respawn there?
SPOILER: If you got far enough, you may have found a glowing object, except it isn't always in the same spot...