Can it be put onto the radar the ability to output via NDI (https://ndi.tv/sdk/
there are a number of NDI endpoint devices from organisations such as birddog and magewell that take an NDI (over ethernet) signal and convert it back to HDMI/SDI for output in multiple destinations/ screens/projectors.
This would also simplify the way output is combined with streaming devices.
p.s. although I I am not conversant with Python, I would like to offer assist where I can