Actually using Nurgle's quest you can get 4 advances. The immediate wheel advance does not stop you from getting a advancement token for the region nor does it stop you from getting a wheel advancement since the card effect is not a wheel advancement condition. So you can get 1 advance during combat phase, one during the domination phase and then 2 more if Nurge have the most wheel advancement tokens.
In fact depending on you read Filth you could also get a wheel advance during the summoning phase as well. Meaning Nurgle could possible get 5 wheel advances. Of course if this does happen that Nurgle player deserves to win and the other players should have to wear dunce caps with tentacles attached.