Laptop screen mirroring to conference room TV while in Zoom Room BYOD mode!?

[Neopaladine]

I'm presently redesigning/redeploying our firm's video conferencing solution, changing from GoToMeeting to Zoom.

In our current conference rooms we use GoToMeeting Rooms with Poly Studio X50 equipment (Poly Bar X50 and TC8 tablet)

We run the HDMI and USB connections from the conference room table across HDBaseT Cat6 Ethernet TX/RX devices (Atlona for instance) to enable a laptop to either use the conference room screen for simple mirroring during non-video conferencing sessions or to do 3rd-party video conference joining when an outside party hosts via another video conferencing solution (Webex, Teams, Google Chat, Zoom, etc...) by putting the GoToMeeting Room control in BYOD mode. With the GoToMeeting Rooms, the BYOD mode shares the Poly Studio X50 bar for Mic/Camera/Speaker features AND screen mirroring just fine.

In our 2nd office conference room (built out with the Poly Studio X72 bar and TC10 tablet), where I'm deploying our replacement Zoom Room solution with the larger Zoom infrastructure, the Zoom Room BYOD does not give access to mirror the laptop screen to the TV through the same type of Atlona facilitated HDBaseT Cat6 TX/RX for the HDMI connection...

Why, and what's a good workaround to make this work for Non-video conference screen mirroring sessions and the same type of 3rd party video conference joining!?