Pity the game wasn't set during the 3rd succession war, I don't know a lot about that one.
3rd Succession War?
The longest of the Succession Wars, and oddly, just as little is known about it as about 1st and 2nd Wars. The original board game was set in 3025, the year the war ended, and the novels went to the 4th Succession War very, very quickly.
We know some major events of the three wars but that is really all, unlike about most later and earlier wars...
The war started in 2866 and ended in 3025, so it lasted 159 years.
Most of the war consisted of smaller scale raids, and no large scale action happened. The Successor States industries and armies were devastated.
The most significant thing about the war is the chivalric values nearly all factions had. Dueling wasn't uncommon. No weapons of mass destruction were used, unlike in the previous wars. In space, JumpShips and orbital factories weren't targeted because constructing them was extremely limited.
That's the major things, i think. Sarna has list of major events:
http://www.sarna.net/wiki/Third_Succession_War
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In a meta-sense, it is kind of funny how nearly every single war post 3rd Succession War was really short. Like, the 4th Succession War lasted 2 years, the War of 3039 lasted one year, the Clan Invasion lasted 2 years. The Operation Guerrero, conquest of Terra by the Word of Blake, the Refusal War all lasted months at most. Even the destruction of the Smoke Jaguars took but a year or so. The CapCon civil war and the FedCom civil war lasted 2 and 5 years, respectively.
Why? All of these were told in novels.
Historical war can last as long as as the writer likes, but anything that is told now must happen quickly, so that the story can be told in reasonable amount of pages and within a character's active career...
The Jihad took some ten years... but then it wasn't told via novels but books that were historical overviews of the previous two years or so.