Mt8-10
Military Tier 8
Mt8 is start of era. At era enemies gain 2 unique passives and era shield.
To do a start to era, you should analysis both passives of an enemy type. When you do that you unlock 2nd tab on Stairs -> Era. At that tab there are permanent era shield divisor upgrades and element disabling costs with xp, whenever you decrease disabling cost of any element to 950 you unlock 3rd tab on Stairs -> Era (only for that element).
For mt8, analysis all elements on region 1, you don't need 3rd tab a lot unless you want to disable earth for first, you will need "Neutral Amplifier" module (top 2nd neutral module on era), but at 2nd tab make permanent era shield divisors 10M-200M (1e7-2e8) and then go for mt9.
Military Tier 9
For mt9, you should max the button on era tab 3 (both maxes at 355), you can speed up the progress with "Chained Mannequin" and "Ominous Coil" artifacts To drop Chained Mannequin => Disable the Era powers of any element and kill Era enemies of that element (0.25% drop rate per kill) (allows you to skip experiment on tab 3 with gems)
To drop Ominous Coil => Disable the electricity Era power and kill electricity Era enemies (0.25% drop rate per kill) (power plant can boost workshop)
When you complete the experiment on tab 3, you go for mt10.
Military Tier 10
Mt10 is same as mt9, only different thing is "???" requirement, to do it you need to disable neutral's power on Era 1m or above.