>>12130877air embolus is a bit of a meme, similar to Korean believe running electric fan will suffocate you in your sleep
your body has plenty or redundant veins and poor oxygenated arm for like a minute is no issue whatsoever
and air can just dissolve into blood
you would need a big syringe or inflate vein directly inside the brain to make any sort of damage and to die from it, you would basically need to inflate your entire heart