Not sure if anyone here has Global Entry, but if you need to update your GE after citizenship / name change, you can contact CBP via the portal and send them scans via email. Took them about 2 weeks to process my request but I didn't have to go to the enrollment center.
Go to ttp.cbp.dhs.gov
At the bottom of the page where it shows CBP Support, click on "For help with Global Entry, NEXUS, SENTRI, FAST"
It will open a new page for CBP Customer Service. Click on "Ask A Question" which will bring up a fillable form
Under "Topic" choose "Trusted Traveler Programs (Global Entry, NEXUS, SENTRI, and FAST)"
Under "Applicable Issues", choose "Change my name due to marriage/divorce/legal"
Under "TTP Programs", choose "Global Entry" - this includes TSA Pre Check
Fill in the rest of the information
They'll send you an email requesting documents
You can send them the N400 certificate or court order for name change and the US passport