Vampyre schools for the young are known as Scholomances, not academies. The “academies” of human vampire fiction resemble human boarding schools and ivy league colleges.
Borne witches also use the term for their “School of Ways,” “Cunning Schools,” etc.
While “Hogwarts” was based on one of these schools, as was the institution in X-Men, the school for witchery are quite different from those of the vampyre.
Not all vampyre attend the same Scholomance and there is more than one. My vampyric grandfather was known to refer to “his scholomance” or “my scholomance.” This was often in trying to make me understand what he was speaking of since the old ways did not always have modern equivalents.