Just fyi, the sedation is usually not medically necessary. I have had it (as well as a colonoscopy) done without, just got a spray to numb the throat for a short while. It’s not pleasant, but I found it bearable and it’s much nicer to just walk out and drive home on your own. If necessary I could still have told/signaled that I want sedation after all during the procedure. Propofol works within less than a minute. In that case they would have called someone to pick me up.
That said, I do live in Germany, so money does not play as big a role as in the US when it comes to healthcare. And the doctors and their staff were exceedingly nice and caring.
Maybe, if you believe you can bear it, and if acid reflux does not make it painful, ask to do it without sedation next time.
I have a similar setup and in the end just went for a cheap chinese („ESKEVE“) 4x HDMI 2.0 KVM switch that supports 4K60. No problems except HDR does not work properly, which is not useful on my monitor anyway. Laptops are on USB-C docks with HDMI 2.0 out, PC uses a passive DP to HDMI cable.