I did not completely understand how it fits the theme, but the Idea is really cool, I solved it on my 1st attempt but went back to check out what else the level holds!
Also I ran into this error when i 1st launched it haha 
Viewing post in Empty Dungeon jam comments
Thanks for playing! In my game, you start with only one tile and you build your path with only one tile at a time. Hopefully that makes sense for the theme. The bug is interesting, I have probably run my game 100 times now and never encounter that issue. It is kinda hard to fix it when i can't reproduce it.