2 Instances of HA, 2 Locations, 2 Homes. How can we reduce to one home and one alternate home?

Configuration
1

GPS coordinates for my home instance of HA place me at HOME if I’m at home. When I’m at my 2nd location across town, “office assistant” so to speak, the 2nd system reports me as HOME and my home system reports me at the place I’m actually at.

Is there a way to zone my 2nd instance of HA so the HOME location reads something other than home?

Should I tell HA that I’m at a dummy home location and then add the actual location as another Zone?

2

For GPS, sure, you can manually define the home zone as the location of your house. It won’t help any static trackers (WiFi/Bluetooth) though, those are always home if the device is seen.