I unintentionally deleted the private/var folder and now I the Mac book gets stuck in the loading screen infinitely

I ran a terminal command to delete the folder since it was taking up 30% of my 128SSD MacBook. I needed to transfer some big files to my laptop Big mistake. I can't login in anymore. I also can't boot into Safe mode. - I can boot into recovery mode to try and reinstall the OS, but of course I don't have enough space only 8gb free. - My screen is also broken and messed up so I'm using an external display - I can boot into single user, but single user doesn't output to external display. What options do I have now?