Will I run out of storage space for system updates?

Hello: I would like to know if I will be running out of storage space on a 32gb storage space for the OS and system updates? Will the updates accumulating and continue taking over storage space?

It depends on how much of your storage you use for other stuff. Generally, there are two updates:

  1. System updates. There are two copies kept: One current installation and the previous one
  2. Flatpak updates. There’s only one copy of a application version at any given time. But they can get bigger with every update.

Probably, if you don’t have too many applications installed and doesn’t have that many data (like pictures and videos) you should be fine with 32 GB.