I was able to resolve this issue after looking at another website. Posting the resolution in case anyone else comes by this.

I had to change the services that are running on the server to not run as the default QB user, and instead run as local system.

Check out the thread here: https://community.spiceworks.com/topic/2241522-why-does-quickbooks-keep-prompting-for-admin-privileg...

Hope this helps someone else with the same issue