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You can't compare campfire buff with cadet badge. As long as you have > 100 luk, you always get +1 core, people should have infinite luk blessings considering a bunch of events in the past gave enough to have 999 and they cost AP too. A luk blessing gives +7 luk which translates to +10.5% chance to get a white core for each black core the boss drops. If you use a cadet badge, it adds +15% to that chance, additive. Campfire buff gives a guaranted +1 core which stacks with the > 100 luk formula, plus +7.5% of white core.
In short, campfire is useful because of the +1 core , the other buffs are secondary improvements.
