Well you gain action points are resource points for use on the warmap after each battle.
Then you use these points to issue orders, reinforce/supply etc units on the warmap - which are then executed at the end of each warmap turn.
Everyone is doing this in that turn, whether you are online or not - so those points are used at your own convenience.
However, if you miss a few turns, the layout / placement of the sector you are in may have changed
Thats really the only thing youd miss out on if you missed a few turns tbh.
So if say 3 cycles have passed since I last did anything I would have a stack of points to use instead of the just the ones from the last cycle?
So say, could I spend a days worth of points in 1 cycle?
If above any worries I might have had are gone, and how do I join that cult again?