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In previous games, there was a thing called the "Asuguh's diary" and its derivatives. They gave stat bonuses based on the number of entries; you can check these for example:
1,
2,
3,
4. Chronicles, gourmet, and explorer work on a similar principle, but this time their effects will depend on the content and the situation. I might throw in a stat, maybe unlock a new ability or trait, or perhaps something else.