I have no success played until after 80 turns, conquered all 6 adjacent provinces to Aramvir, and - IF I read this correctly,

"monitor_event BuildingCompleted FactionType f_hayasdan" - is this a trigger - ie checks whenever Hayasadan completes a building?
"and NumBuildingsCompletedFaction hay_caucas > 5" - unsure - I have built more than 5 buildings in the ??"hay _caucas" - is this Aramvir or the caucasus region?
"and I_NumberOfSettlements f_hayasdan > 6" - met - I have seven provinces.
I think will leave further testing of Hayasadan until one of the Devs can shine some light on the problem. At present it is essentially a dud faction since without new government structures it cannot produce units powerful enough to compete in the mid and late game.

Finally - just to clarify in case someone else wants to test, is it necessary to delete the map.rwm file before starting the new campaign?