hi thanks for the edit here. Per https://wiki.openstreetmap.org/wiki/Names#Name_is_the_name_only the name value should only reflect the street name, in this case being a private driveway it likely doesn't have a name therefore name should be omitted/empty.

The fact that it is a Private Driveway can be specified with access=private + highway=service + service=driveway, then it being a shared driveway is specified with driveway=pipestem. I've improved the tags based on this.