Thank you so much, it does! I updated the private Portal URL at the URL you provided, but it reverted back to the machine name. I also tried updating the security-config.json directly on the server, but that was also unsuccessful. The URL just reverts back to the machine name in both places.
I'm going to try updating both simultaneously with the ArcGIS Server Service stopped (the security-config.json has a .lock file associated with it, which may be why it won't update) and see if that does it.
Thanks again!