Hi @matthew.stricker15
I went through the lab reproducing the steps and noticed the two servers got almost immediately after the reboot but not the workstation.
Doing some troubleshooting I checked first if the share was accessible by typing in File Explorer:
\\SADC01\Software
and I can see the 7zip installer. Then opened a command prompt as an administrator and executed gpresult /r /scope computer
and saw the GPO applied to the workstation but when searching for 7zip it was not installed.
While looking around if it was a user I remembered it was a Computer setting. The Workstation is joined to the domain as I can see it in the Domain OU in the server and in the Workstation itself.
I rebooted the workstation a second time and then I saw the 7zip app, so it might be needing a second reboot, or while you were checking it was installing it in the background.
Ricardo