Why not treat it like a meter on a feeder for a building. Let the grounded conductor serve as the grounding / bonding of the enclosure.
Use PVC from the meter in this case to the em disc. Then PVC to entrance of building, the em disc can not be mounted to a metallic part of the construction.
Keep in mind if em disc watch you distance entering the building or it will change the classification of the em disc to service equipment.
Me myself for now I will set outside and all GEC to there with MBJ and four wire in and separate.
I would only consider the other option for a service Change on an upgrade requiring a em disc. As long as the service panel was not replaced.