We apply the sump formalism (Papers XXVI–XXVIII) together with the G2 permutohedron geometry established in Paper CLV (vacuum fluctuations as G2 permuto- hedron bubbles, A = (12 √ 3 + 6)(4/10)R2) to the JWST-selected Little Red Dot (LRD) population at z ≳6, and derive a parameter-free prediction for a systematic overesti- mate of their photometric masses. The central result is that the mean projected surface density of a sump with permutohedron geometry is universal and larger than the naive 2D disk value: Σperm sump = a0/(Aperm/4) G = a0/(2.68 G) = 0.583 kg/m2 = 279 M⊙/pc2, independent of the central black hole mass. This is the disk value a0/(πG) = 238 M⊙/pc2 multiplied by the permutohedron-Cauchy factor π/(Aperm/4) = 1.17. For a source at zS = 10 lensed by a sump at zL = 6, this produces a uniform convergence ∆κperm sump ≈0.027 and a magnification µ ≈1.057 (a 5.7% flux enhancement). Since LRD masses are inferred from fluxes under the implicit assumption µ = 1, the population exhibits a ∼5.7% sys- tematic SED-fit mass overestimate, modulated by DLDLS/DS. The Einstein radius of a typical LRD (MBH ∼107 M⊙) is θE ≈3 mas, far below the Roman Space Telescope PSF, so no resolved arcs are expected. Three formal predictions (CLI-1, CLI-2, CLI-3), zero free parameters. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.
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