What’s the regulation for vaping disposable vapes at Airborne?

The policy isn't for smoking it's for tobacco products.

If you want to be a super duper paratrooper, then don't create any doubt.

Per AR 600-63 smoking is not allowed except in designated smoking areas. E-cigarettes and like devices (vaping) are considered smoking, with the exception of vehicles. The regulation specifically states tobacco products may not be used in vehicles and while that is a grey area it's best not to test it.

That said you may be subject to command policies that further restrict the regulation due to the training environment or just because the command says so.

Additionally vaping in the barracks is typically a no go and usually states so in the housing policy. While housing policies are not typically punitive it's not a good idea with be pushing peoples buttons with technicalities. Great way to end up on someone's radar in a bad way.

You'll probably be allowed to vape in your down time in designated areas but if you're overly concerned about being able to do it I wouldn't bother and just give it up for the duration of the training. You'll also find vaping rules are enforced overseas depending on the unit, so that's something to keep in mind down the road.