Run 2 HDMI’s to the projector. I did one where we had the sim go through an avr and when they switched from a source back to the sim they would have to recalibrate the sim. Running a second hdmi fixed that. We just used the sim screen. The sim company uses Sony laser projectors, I don’t remember the model, but it has a different profiles to go from the 4:3 ratio for the sim to 16:9.