How to splice android projector for video and android tv set-top box for audio?

Question

Android

Good afternoon!
I have an android tv set-top box (nvidia shield), it is connected via hdmi to the receiver, which switches all this and outputs it to a TV and 5 speakers. There is a desire to buy an android projector that will stand at the other end of the room and it is unrealistic to reach the wires there. Those. the projector will only have wifi from the connections.
The question is how to make it so that only video is output from android tv to this projector, and the sound still goes to the receiver? Any chromecast, if I'm not mistaken, will cast everything, both video and sound ... The priority is such a setup, but at the very least - start viewing on the projector, and only cast sound on android tv.