When I got into television for real in 1970, every control room had a "film chain" nearby.  This was used for slides or 16mm movie film.  The chain was laid out in the shape of a plus sign.  On the four arms were a TV camera and three projectors, all facing inward.  If the camera faced south, normally it would be looking straight into the lens of a projector (red) facing north.  But in the center of the plus sign between the devices was a pair of optical-quality mirrors.  Solenoids flipped the mirrors so that the camera could see another projector (blue) facing east, or yet another projector facing west.  Only one camera was needed, and it did not have to be re-aimed or re-focused.

As a variation on that idea, this design attempts to use a single fixed camera to cover a small interview set.  The camera is at the top of the plan.  It is presently looking at the small mirror marked in red, then at mirror A, and ultimately at the chair where the guest is sitting.  Mirror A could be turned 15º counterclockwise to give the camera a view of the host instead.

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But if the red mirror is slid out of the way (towards mirror A), the camera sees instead the other small mirror.  In its green position, this mirror shows the camera the graphics stand (with a reversed title card, because of the single reflection).  In its blue position, 15º counterclockwise, this mirror allows the camera to see mirror B and in it both interview participants.

The host could run the whole show, selecting the desired shot with a set of unobtrusive toggle switches.  However, the transitions from one shot to the next would be unusual:  "swish pans" on the 15º rotations, or a quick soft-edged wipe when the red mirror is slid into or out of the optical path.