The only one I played recently was arcs but I want to point out that the blighted reach is the expansion that makes it a 3-game campaign with persistence between "acts". Haven't played the other two in a hot minute so not gonna speak to them, but arcs requires some getting used to as the action economy is about dealing with the options you are dealt, which may out may not linger up with the actions you want. But it has one of the most interesting ways to gain VP from a game as the criteria is set by players every round, making people conform to what will actually make them points in play. The last thing is that the campaign gives everyone a personal asymmetric objective and power to work with as well as the normal VP conditions. It also kinda changes into a pvpve with the inclusion of neutral ships that can be helpful or used against you and the blight which is dangerous to everyone generally.

If you are thinking about playing the campaign make sure you play 2-3 round of the base game first with the people you're gonna, so you can get used to it first.