This is a really, really fun concept that looks like it has a ton of potential! I wish you had more time to flesh it out - here's some ideas that I think could make the game nicer and more manageable if you revisit it later:
- Really embrace the frantic feeling by speeding up the music more and more when you have a lot of doors to place or unfilled requirements, this is also a good audio cue for players
- Have the residents of the rooms play sounds when you pass by them if they have more requirements
- Make the map larger and have the invalid rooms flash a color, maybe flashing faster/brighter depending on their importance - this would also be nice to see on the doors themselves
- Allow the player to swap the room in their hands with the room they're standing in front of
- Let the player see the requirements for a room before placing it down
- Visually offset the front and back doors a bit up/down for extra clarity on which is back or forward
- Instead of X: Y: to show the grid position, maybe Row: X Col: Y split on two separate lines would be easier to read
- For it to reaally scale, I think you'd eventually need to unlock some new special room types like an elevator warp that can take you between two or more rooms instantly
Really great game overall though!