Any combustion will generate some amount of carbon dioxide and carbon monoxide.
Both gases are dangerous, in a different way.
You can't live breathing carbon dioxide: it doesn't give any oxygen to your blood and you would suffocate.
Luckily, being carbon dioxide one of the major byproducts of our body, our body itself is really good at detecting it, and any significant amount of carbon dioxide will give you a sensation of suffocation.
Carbon dioxide is'n poisonous, it just doesn't give your body anything it can use to live and if saturates the air you won't get oxygen and die. But, as said, special sensors in our windpipe make we immediately alert of the fact that the air we are breathing is lacking oxygen.
Carbon MONOxide is another thing entirely.
First and foremost, it's a lethal poison for our body. Each carbon monoxide molecule binds permanently to a molecule of hemoglobine rendering it useless for its purpose: carrying oxygen to the body.
Moreover, carbon monoxide is extremely insidious: it doesn't smell, it's invisible and our body lacks any sort of sensors for detecting it.
Carbon monoxide is LETHAL. Once you are poisoned with it, there's NOTHING that can be done. Oxygen therapy has only marginal effects, because it just gives more oxygen to the remaining, sane hemoglobine, to carry, to make up for the blocked hemoglobine.
But if too much hemoglobine has been destroyed, even breathing pure oxygen won't save you, as nothing of it will be brought to your body.
Luckily you need to burn a lot of combustible in an enclosed space to get serious carbon monoxide poisoning.
Burning propane will produce many other byproducts, complex hydrocarbon and other gases which is not healthy to breath.
SO: when using your forge be sure your garage door is open.
This will take care of any noxious gases that may come out of your forge.
If your garage has some window, open it, so that a breeze can pass.
As for gases passing in your house, I don't think you risk anything serious.
Keep any door between your house and the garage shut and nothing significant will get there. You'll get much more hydrocarbon and CO from the normal air pollution of your environment than from your forge
