  On a Weinstein manifold, we define a constructible co/sheaf of categories on
the skeleton. The construction works with arbitrary coefficients, and depends
only on the homotopy class of a section of the Lagrangian Grassmannian of the
stable symplectic normal bundle.
  The definition is as follows. Take any, possibly high codimension, exact
embedding into a cosphere bundle. Thicken to a hypersurface, and consider the
Kashiwara-Schapira stack along the thickened skeleton. Pull back along the
inclusion of the original skeleton.
  Gromov's h-principle for contact embeddings guarantees existence and
uniqueness up to isotopy of such an embedding. Invariance of microlocal sheaves
along such isotopy is well known.
  We expect, but do not prove here, invariance of the global sections of this
co/sheaf of categories under Liouville deformation.
