Starsector 0.97a is out! (02/02/24); New blog post: Simulator Enhancements (03/13/24)
Buy information from the Pirates. They have half the puzzle. For the other half, investigate the abandoned station. Once you have both pieces of information, you can tell the Archon and he becomes really angry that the rest of the League is disrespecting the sovereignty of his station and the principles of freedom that it should be standing for.
You need to talk to the rambling guy on one of the stations, I don't remember which one.
The community's response to a change is inversely proportional to its importance.
Have you investigated the communications array? I did not go that route, but it may help.
I must have glitched it then. I'm running the mod that lets you take over stations (makes it kind of a 4x, invading planets, waging war with factions) so the pirate base is under persian leauge control. None of the bars have anyone in them, and none of the comms have a pirate leader.