Macbook Pro (encrypted disk) hangs during login after some "low hdd space near-crash"

Actually, "Reinstall macOS" from recovery mode also doesn't work: when I click "continue" as shown on picture in https://support.apple.com/en-ke/HT204904, "continue" button gets disabled but nothing happens. I guess it's because it tries to access the disk to show options where to install the mac os, but that "/dev/disk2 (synthesized)" has somehow so corruped structure that it hangs.

UPDATE:

The reason was hardware fault of the SSD on a only 16-months old laptop (macbook pro 13" late 2017). The fault caused the data corruption to the level that it wasn't possible to mount the disk and the "Disk utility" used in recovery mode couldn't even start up. Btw, It speaks a lot about the quality of the software that can be made non-functional just by disk data corruption.

Anyways, the solution: get a clean install of a recent mac os on the external drive using a working computer (fortunately I had the old Macbook Air that still worked without problems). Connect it to the broken laptop and boot from the external disk (press and hold the ⌥ key), boot from it and then run Disk Utility. This way macOS/ Disk Utility don't attempt to automatically mount the totally messed up internal disk and it's possible to just format it from the scratch (you need to switch view to "Show all devices" in Disk utility), select the physical disk and erase it. Now you can disconnect the external drive, reboot in internet recovery mode, install the recent macOS. Needless to say that it'd be good to check the health status of your disk (i.e. SMART params) - in my case it was a hardware malfunctioning that led to data corruption and overall "disk health" decline.