The problem of evil has elicited myriad attempts at theodicy. Many of these "proofs" engage in a rich set of complex rhetorical and logical maneuvers. It can be tempting to engage with these on a case-by-case basis. But doing so almost always involves a lot of risky philosophy. We should look for lower-risk solutions where available.
And one is certainly available here, because however varying its many manifestations, theodicy aims to show one thing: God could not possibly create a better world than ours. [1] And to this there is an obvious counterpoint:
Heaven.
According to the Bible, Heaven is a New Earth, where there is no war or violence, but only eternal peace and sanctuary; no hunger, thirst or famine but only plenty; no filth, sickness and disease but only health; no sadness but only joy. (In Heaven there are even cats and dogs living together!*)
In short, Heaven is a "perfect" world, and per Christian theology, an actual one. Thus, any argument that God could not possibly create a better world than ours is plainly undermined by the awkward fact that according to Christian theology, he already has.
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NOTES
1. The relevant constraints on possibility here can be logical, metaphysical or moral. Any sort of "impossibility" is consistent with the argument I outline here.