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With the arrival of Linear A's Byzantines, I am starting to learn about how to organize a Tagma and there really is a lot that I didn't know.
For others, who may find themselves in a similar situation: here is a link to Maurice's Strategicon (written by Emperor Maurice in the 6th century) with a ton of useful information:
https://archive.org/details/maurices-strategikon.-handbook-of-byzantine-military-strategy-by-maurice-dennis-/page/n29/mode/2up