Responses
The translation group for the novel is different so they have a different interpretation of the last name.
In season 1, Prof. Pugman said that his family helped her family rise to the throne and to remember that the Roguepalaces owed them and stick to the status quo (i.e. siding with the nobles in the Academy) but Adjest did a dramatic exit as she quit the Blue Moon Party to join the Starling Party.
If the divination would change if Adjest gave her real name. Whelp, there's no confirmation that fortune-telling is a legitimate type of magic in this world so I guess it's pointless wondering about it.
The important part in the chapter is that my ship is starting to sail!