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Ment asked about the mentors' beliefs, I'll answer here, but I'll warn you right away that these beliefs reflect the worldview that they have when interacting with people and do not necessarily correspond to their real thoughts.
Gunghnir von Breckendorf - Church of Artery
Emilia von Breckendorf - No belief/Other
Claudia Acham - Church of Artery
Eisen von Mariendorf - No belief/Other
Cecilia von Mariendorf - Airisufir Arteryism (a branch of this religion hostile to the Church of Artery, the main difference being that they believe the goddess was reborn in the Air el Sufir dynasty, i.e., the ruling empress of Airisufir is her earthly incarnation)
Matthias Kessler - No belief/Other
Almandina Arcadia - Church of Artery
Gregor Filanemo - No belief/Other
Virgil of Stingelheim - Church of Artery
Victor Slimegate - No belief/Other
Almost none of them have conflicts based on their beliefs, but Cecilia and Almandina/Claudia sometimes argue.