Will this setup work (Projector, Soundbar, BD Player)?

Backstory: SIL has a projector in a room in her house. Projector has one, in-wall HDMI cable. She wants to hook up a Blu Ray player and a sound bar. For the life of me I feel like I can’t find the right combination of items, like a player that has optical audio out to match a sound bar or a sound bar that will pass the video through to the projector (which is what I have my current TV).

I think I settled on this:

Sony BDP-S1700U Blu-ray Player with HDMI to a LG S70TY Sound bar which has a port (labeled) HDMI>TV (or projector in her case).

The only issue I have is I know nothing about ARC AND the sound bar says ARC under that HDMI port. If I’m not passing sound, do I need to worry about this? Will it still pass the video to the projector? I’m worried about her spending money on all this just to be blocked by some silly HDMI copy protection nonsense. TIA!