2. hhh graphs G01 and G02

A sparse-ring fast path (same algorithm as the Expr path, partial products truncated in the Taylor parameter at the pole order) reproduces G05 and G06 bit-identically and makes G01 (V${}_3^3$ triangle) and G02 feasible. G02 needs the quartic vertex: $V_4$ was derived from $S_{EH}$ by expanding $\sqrt{-g}{g}^{mn}{g}^{ac}{g}^{bd}$ to second order. No non-scaleless XVI-P graph contains $V_4$ (its tadpole is scaleless), so $V_4$ is validated by the exact Einstein–Hilbert gauge identity ${\delta }_0{S}_4+{\delta }_1{S}_3=0$ (${\delta }_{0}h=\partial \xi +\partial \xi$, ${\delta }_{1}h=L_{\xi }h$), which vanishes identically; the same identity at $n=2$ ($V_3$ vs $V_2$) is the machinery control. G02 (three channels) and G01 are Bose-symmetric under $(a_1,p_1)\leftrightarrow (a_2,p_2)$, and G02's channels map onto each other. All 15 P.6 graphs now have pole values (G14/G15 from Q04).