  We establish the relative minimal model program with scaling for projective
morphisms of quasi-excellent algebraic spaces admitting dualizing complexes,
quasi-excellent formal schemes admitting dualizing complexes, semianalytic
germs of complex analytic spaces, rigid analytic spaces, Berkovich spaces, and
adic spaces locally of weakly finite type over a field, 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. In addition, we apply
our methods to establish the relative minimal model program with scaling for
spaces of the form above in dimensions $\le 3$ in positive and mixed
characteristic, and to show that one can run the relative minimal model program
with scaling for complex analytic spaces without shrinking the base at each
step.
