Hello JD. As i see it, you use win10 as your operating system. You need to wait and wait. The system is not hanging up. As soon as you reach 33%, you need to wait, wait and wait....it can take up to half an hour, an hour. Windows will finish the updates and restart your PC completing the job.
Secondly, OBS has nothing to do with win OS. I was using OBS while running win7 for years. I give you a link with older versions of OBS.
old versions
I would recommend to go with a 27.2 version (any). Pay attention to be for windows systems. However, i repeat, windows updates have nothing to do why you couldn't download OBS.