The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero

We establish the relative minimal model program with scaling for projective morphisms of quasi-excellent algebraic spaces admitting dualizing complexes, formal schemes admitting dualizing complexes, semianalytic germs of complex analytic spaces, rigid analytic spaces, and Berkovich spaces, all in equal characteristic zero. To do so, we prove finite generation of relative adjoint rings associated to projective morphisms of such spaces using the strategy of Cascini and Lazi\'c and the generalization of the Kawamata-Viehweg vanishing theorem to the scheme setting recently established by the second author. To prove these results uniformly, we prove GAGA theorems for Grothendieck duality and dualizing complexes to reduce to the algebraic case.