Some home-built tubes do use a gas supply, but virtually no one builds their own CO2 tube to use in a laser cutter when better tubes are available on eBay for $100.
This is speculation on my part based on my assumptions. If my assumptions are incorrect that's fine.
Many folks use small compressors for this purpose.
But it won't have anything to do with CO levels.
As others have said, normal laser cutters have sealed tubes, although its of course possible they had some DIY rig for whatever reason. MIT students building their own CO2 laser just for fun doesn't seem all that odd, using it for long time in a cutter maybe more so. I don't know if a leak in a CO2 system would lead to CO poisoning or no. CO produced by the material cut seems more likely to me.
however, after thinking some more, I agree that CO from material cut is more likely.
Air assist, yes (to clear smoke and particles from the beam and protect the focus lens from soot), but that's just an air pump, not a gas supply.
CO is odorless. You might get a headache, or you might only feel tired. What's worse: a lot of CO detectors are pretty shoddy.
There is very little gas in a tube though.