Hi,
Payara Server Admin GUI is a standard web application like any other application deployed to the server but it's just deployed as system application, which means that you can't configure it by standard methods. By default, it is bound to the virtual server named __admingui and to an empty (root) context root. There's no supported option to modify the context root of that app.
Although it's possible do change the context root of the app by editing domain.xml file directly, the application expects to run with an empty context root and fails to load. It would require some tweaks to make it run on a non-empty context root.
If you want to explore, you can see the configuration of the admin GUi app in domain.xml (you first need to start the server and load the admin GUI in browser to see it):
<system-applications>
<application context-root="" object-type="system-admin" name="__admingui" directory-deployed="true" location="${com.sun.aas.installRootURI}/lib/install/applications/__admingui">
<module name="__admingui">
<engine sniffer="web"></engine>
<engine sniffer="security"></engine>
</module>
</application>
</system-applications>
As I wrote, you can try changing the context-root value but the app will fail to load because it redirects to a worng URL.
Ondro