Well, it turns out there's not much to do; the Arena, Infinite Dungeon, and all the addon-supplied campaigns so far all set a special flag telling the level-up dialog to ignore the problematic requirements.
The trick, of course, is finding thematic ways to satisfy some of the more esoteric prodigy requirements. Here's what I've thought up so far:
- For Draconic Will and Draconic Body, we need to be "close to the draconic world" - a.k.a. two hits of "drake_touched", normally from Heart of the Sandworm Queen and Wyrm Bile. Currently, I have one of those available from the Old Psi Machine and the other from a lore item in the Gorbat section of the Internment Camp.
- For Garkul's Revenge, we need to read all five lore entries about Garkul. Currently I have the Kruk Pride library selling those, but it occurs to me that it might also work to have those appear in Internment Camp. (I'm assuming the Helm and Teeth would drop normally.)
- For Aether Permeation, we need to be "exposed to the void of space". Fearscape invasion portals would tick that one; do they appear in EoR? If not, we could add them.
- For Fallen, we need to "commit a heinous act". Maybe killing some of the pacified orcs in Internment Camp?
- For Secrets of Telos, I assume the three pieces would drop normally, but the main campaign has one boss that's guaranteed to drop one and has a high chance of dropping another, so we'd want to have one of those here too; no idea who to choose for that…
- For Meteoric Crash, we'd need an "open-air" zone that we could add the meteoric-crash event to. Internment Camp might qualify for that, and also maybe Sunwall Outpost; anywhere else?