If its still in there, maybe try using some kind of vacuum hose? The cotton is so light I imagine it'd have to get sucked out.
ETA: I'm not familiar with the bolt assembly of the AR-15 platform, so if it would inadvertently suck something important out, obviously don't do it.
ETA: I'm not familiar with the bolt assembly of the AR-15 platform, so if it would inadvertently suck something important out, obviously don't do it.