\begin{longtable}{@{}p{0.26\textwidth}p{0.34\textwidth}p{0.30\textwidth}@{}}
\toprule
\textbf{Property} & \textbf{Sufficient conditions} & \textbf{Certificate linkage} \\
\midrule
\endhead
Degree preserved (LDW) & regular transport on loop; periodic compatibility & DMG: max\_lift\_drift $<\pi$ (LCM) \\
Holonomy preserved (HW) & $d\omega=0$; regular connection evolution & DMG: max\_holonomy\_drift $<P/2$ (HMR) \\
CST target persists & coupling constraint enforced (SOL/affine/matrix) & WSC assumptions include coupling class + CTP \\
Mixing claim valid & NDB adopted; diffusion dominates shear (MXC) & WSC includes MXC + rate in ledger \\
\bottomrule
\end{longtable}
