  For the base $B$ of a Maslov $0$ Lagrangian torus fibration with
singularities consider the sheaf assigning to each $P\subset B$ the relative
symplectic cohomology in degree $0$ of its pre-image. We compute this sheaf for
nodal Lagrangian torus fibrations on four dimensional symplectic cluster
manifolds. We show that it is the pushforward of the structure sheaf of a
certain rigid analytic space under a non-archimedean torus fibration. The rigid
analytic space is constructed in a canonical way from the relative SH sheaf and
is referred as the \emph{closed string mirror}. The construction relies on
computing relative SH for local models by applying general axiomatic properties
rather than ad hoc analysis of holomorphic curves. These axiomatic properties
include previously established ones such as the Mayer-Vietoris property and
locality for complete embeddings; and new ones such as the Hartogs property and
the holomorphic volume form preservation property of wall crossing in relative
$SH$. We indicate some higher dimensional settings where the same techniques
apply.
