C5: normalization and overlap audit

This proposition does not establish the joint extension outside those regions. In particular, partial chronological order inside a nonlocal entry is not full functional-support ordering.

The inherited-root overlap is entirely at tree order:

Every permitted change here begins at ${\hslash }^2$ in ${\mathsf{T}}_2$ and hence at $\hslash$ in $R_1$. It cannot alter this classical coefficient. No cubic-response root is demanded as the value of the complete degree-two quantum coefficient.

The retarded condition remains an attachment condition. We do not assert that every remaining functional-support variable of ${R_1}^{(1)}$ must lie in $J^{+}(\mathrm{supp}{\mathcal{V}}_g)$.