The Epireus base doesn't have much in terms of resources, aside from a small collection of books that Rand and Gallador have compiled. But really, it would be a "what do you already know" check.
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Team Assassin-
Relle, they want nothing to do with this. They don't like the Bureau either, but they don't want to give the Bureau reason to look into their activities in the Republic.
Graf needs incentive to follow you off on some damned fool adventure.
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Team Con-Knows-Everything-
You're really well-traveled, Con. You don't need to do any research when the others ask where you think they could try to hijack a Bureau sensor relay. Newhaven comes to mind first, but Rianna confirms that it wouldn't do much good to try that place again.
Rather, the Bureau has recently set up a relay in the Flor'sahn System.
Well, we know Rallo's name, and that of the Jedi Masters that trapped him, and where all that happened. Using that info we can pinpoint when he was actually alive during the Sith wars.
I'm thinking that, from there, we can find out what planets might have been Sith strongholds at the time, and use those as potential places where Rallo/Galder may be?
Nothing from Azarl but we have a majority. Cumulatively, you have a Jedi Lore pool of 17. Rianna and Xavier harken back to history lessons in the Jedi Archives on Sith campaigns, while Azarl calls upon ancient legends from his distant part of the Galaxy. Seven successes gives you some basic knowledge to go off of.
Not even Master Rand knew about the secret Jedi base on Vorkuda's jungle moon. But as part of the greater picture you put together, that makes sense. While you do not recall Vorkuda and its jungle moon ever coming up in lessons or legends, that area of space still sits outside of the Galactic Republic, and fell quickly to the Sith war machine during their last great campaign- two thousand years ago, shortly before the supposed extinction of the Sith and their Dark Lords. Vorkuda would have lain on a Sith war path that pushed deep into Republican territory. In keeping with aggressive Sith strategy and overall character, they established a forward base somewhere in the Inner Rim.
Looking back from your current time period, you know that this particular Sith operation was short-lived. It overreached its supply lines from the Outer Rim and the Republic Fleet denied their advance into the well-defended Galactic Core. Combined with the Masters of Vorkuda freeing their system and the overall lack of cooperation among Sith forces... well, you know the rest. The war carried on elsewhere and ultimately ended with the defeat of the Sith and their disappearance.
Azarl probably doesn't love the Sith much, since they enslaved his people around that time. Is Vudes anywhere near the war path that took Vorkuda?
Anyway, Azarl proposes that Rallo might follow the old war path, looking for something familiar or trying to find help from his long-dead Sith overlords. Or something. I'm not sure what he could hope to find and I'm sure he'll find out quick that things are much, much different.
What kind of incentive does Graf need? I can try to Persuade her, apparently Relle's good at talking.
Relle finds all the speculation interesting but has little to offer. She listens to the others before giving Graf a call to try convincing her to join in the hunt.
No, you do not. That would require extensive research on a subject where existing historical records already prove exaggerated, incomplete, or straight-up falsified. But it DOES narrow down the part of space you need to search, and making use of the Bureau sensor relay in the Flor'sahn System would greatly reduce your search time.
All you need to do is gain access to that Bureau sensor relay without bringing the Bureau down on you. That would end your search before it begins, and probably hand Galder over to the Bureau in the process.