I think you mean EXP (experience points), not LP (license points - I don't think there's a single monster that awards you 3000 LP in this game)
In that case, (SPOILER)the increase in EXP has little to do with the Esper, and more with the fact that the number of fighting characters is reduced to one. But to beneficiate from that, it's enough to just limit your fighting party to one from the party menu, instead of summoning




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