Since you want the ability to play Dolby Atmos audio and your projector probably doesn’t support Dolby Atmos, I recommend getting the HDFury Arcana eARC adapter along with an HDMI switch. The Arcana will allow the PS5, Apple TV, and PC to bypass your projector’s limitations and send audio directly to the Beam.
Before you connect the Arcana, be sure to set up the Beam with a TV with HDMI ARC first since your projector does not have HDMI ARC. If you have already set up the Beam on a TV, you can skip this step.
HDFury Arcana: https://hdfury.com/product/4k-arcana-18gbps/
Here is an HDMI switch that works well with the Arcana: https://www.amazon.com/dp/B07CF793HQ/