Since you're forcing us to do FATEs for atmas AGAIN... Why not include a FATE log?
A log similar to the Fishing log where you can see all the FATEs (and GATEs) in the game we've participated. There, we can see data of each one like: the locations, the time, the level, the lore, and the medal we've earned.
The reward of completing that log could be a minion (like with the Sightseeing log).