Setting is the near future - we have perfected VR/AR and can provide low-latency communication via satellites in low earth orbit.
My company wants to provide a virtual conferencing service with maximum privacy, where bosses of organized crime can broker deals with government officials, where super-rich can fulfill their desires with a companion on the other side of the planet. All activities should be safe against eavesdropping and impersonation, but still be at least moderately comfortable. Possible threats include one participant recording the conversation to blackmail the other participants (e.g. an entertainment worker recording their client or a crime-boss recording the government official)
What we can provide: We have a net of private satellites for worldwide communication and we have secure algorithms for end-to-end encryption. Our service will be provided in a service center in all major cities. - We can deliver the whole service-center in sealed containers, build in our company headquarters, so no one can bug the place beforehand. We will also have highly paid personell with background checks and redundant checks and video surveillance from workers in other countries.
I currently cannot find a feasible solution against clients smuggling in miniature recording devices to record the session. Even if I can completely scan and wipe the room before a client enters to prevent someone else from planting a device, the client could smuggle in a small device. I don't want to make the service very inconvenient - If the clients for example would need to strip down and wait 24 hours - super-rich people would not like to use this service very much.
How can I secure my service against this threat and possible other threats ? The service can be very expensive, but should not be very inconvenient to use. Answers should be science-based but can include minimal handwaving.