Packaging and exact release boundary

and exact release boundary{ The explicit request for one combined .tex file is followed. Parts I–III retain the ordered stages IX-C-ST, IX-Free-ST, and IX-Free-2-ST. A later part uses only results already established in the earlier part and the shared stated inputs.

Part I ends with an unresolved factorization gate. Part II advances that gate but still releases neither complete association. Part III constructs the declared truncated partial product. These intermediate verdicts are not contradictory and are not retrospectively erased.

This is not IX-D-ST, IX-E-ST, or a unified IX-ST. No registry modification is asserted.}