@DoubleAA I'm not sure what you're asking, but
judaism.stackexchange.com/questions/27884/… we decided that the soap would not be pogem. I remember a Maharam Mi'Lublin that says something about the dairy not being mevatel because it is not assur, and you can only be mevatel issur. It's been a while, so I may not be remembering that correctly.