Input statement: XIII-C's release

Constructed: the incidence inventory, the widened class ${\mathfrak{C}}_{\mathrm{tot}}\subset {\mathfrak{C}}_{\mathrm{part}}$, the off-collision products on their microlocally admissible open sets, and the elementary parallel-line extensions.

The parallel kinetic primitive has scaling degree $8$ and codimension $4$; its partial-contact ambiguity has normal derivative order at most $4$. Sum-zero bounds and collision exclusion do not establish the joint off-collision product: distinct null-related vertices can carry a nonzero wavefront cancellation.

The coefficient linear in $\hslash$ is Unresolved. That is a failed sufficient product criterion, not a nonexistence theorem XIIIC.