Based on the search results, it is unclear how the academy works in the context of the question. The search results provide information on military training and readiness, but not on the academy in the game.
One post in the Elvenar US forum suggests that upgrading military buildings and wonders can increase the queue time for training units. However, it is unclear whether the level of the armory and the unit have an influence on the training speed.
The other search results are not relevant to the question. They provide information on evaluating the value of military schools, Army doctrine for the readiness training of soldiers, measuring strategic readiness, and how to conduct training in the military.
To better understand how the academy works in the game, it may be helpful to consult the game's documentation or forums, or to seek assistance from the game's support team.