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Simple motivation for mixed characteristic algebraic geometry?

Can anyone give a road map for how Bhatt-Scholze's fancy recent p-adic work applies to questions in more general algebraic geometry and commutative algebra? I'm aware that it does, following Andre, but I still don't really get how the full picture works.

My question is simple, but broad:

How and when do broad problems in algebraic geometry reduce to p-adic problems which can be attacked using these methods?

Moreover: which problems can't be attacked this way? Why?