Mztees original post states that this neighbour has not complained about the other dog just Mztees. As we have all established dogs bark. So there is no way this other dog does not bark as well. For mztee to take his dog out of the equation this would show the complainant that it is not just one dog making noise. So I would still recommend taking your dog Mztee out of the home without telling anyone then if the complaints continue you would have proof that the other dog barks as well. Then you can all address the matter of dogs barking in your complex and how handle the matter.
Mztees original post also states that Mztee works from home during the week and has a flat mate that is home most days too. It sounds as if this dog has someone around a lot more than the average pet, even those in free standing homes with a yard. Nevertheless, whether in strata, a home or a farm, whether you are home everyday or work 9-5 dogs do bark. Mztee just wants to establish why he and his dog have been in his opinion been singled out.