Release: three separately constructed calculations

: three separately constructed calculations{

1. Route 1: Constructed. A polynomial on-shell Hadamard extension admits ${\mathcal{B}}_f$ and $\mathcal{T}$ and embeds XI-B's algebra. The smaller raw causal-Weyl branch is obstructed under its specified continuity interface.

2. Route 2: Constructed. The plateau coefficient identity, affine recomputation, and corrected localized support statement are proved. This is not an interacting differential.

3. Route 3: Constructed at the classical coefficient level. The split defect cancels. The cubic Einstein tree has an explicit variation, not an asserted vanishing variation.

The combined release is constructed for these named calculations. A complete interacting quantum Ward identity is not constructed. No loop value, state, sharp limit, or Einstein-jet repair is claimed.}