The Luxe does vent the excess air out of the bolt, it is noticeable, but it shouldn't be very loud or very much air.
Ok, so that answers question #1, do you know why it isn't cycling normally? (atleast I assume, sometime it shoots a quiet "puff" and sometimes it shoots what sounds like normal shot)
I don't have a luxe so I'm not going to try and act like an expert....Does it have bolt stick?
Unsure, I can confirm it isn't cycling properly atleast, it isn't even getting the ball out the barrel