I finally got to a computer and the first part of that sounds like it might be breathing (since it pauses), but the end part is too long and consistent to be breath, but it definitely sounds like air flow across the mic (or possibly a bad connection).
Do you get the same issue with the other mic in that package (i.e. just swapping one mic for the other)? This would help you better pinpoint the cause between the diaphragm picking up something (it goes away), or an issue with the signal path (it is still there).