Asalamualaykum Sheikh, may Allah reward you for your work. I have questions about wudhu. I was told by a brother that in our madhab that it is Fard to wash our mouth and nose. If this is true is it to the same extent as ghusl (like wash mouth to the throat and fully run water through the nose)?
Washing the mouth and the nose with water are pillars in wudu and ghusl in our mathhab. However, the extent you described is a little bit exaggerated.