Theta Closure in Modal Triplet Theory II: Direct Geometric Realization of Selected Gauge-Profile Overlaps

We re-execute the Route A geometric overlap ansatz against the selected multi-loop gauge-profile targets of Paper I. In its stated dimensionless normalization, a round two-sphere effective lens base and an isotropic compact Heisenberg nilmanifold can be retargeted analytically to reproduce the two target overlap ratios. The spectral lower bounds remain well above the assumed dimensionless admissibility floor. This establishes the existence of a calibrated representative in the declared auxiliary ansatz. It does not prove a full lens-space reduction, identify the auxiliary Lens-Nil representative with the selected q79/Fu-Yau compactification, select a geometry uniquely by MTT, or make the gauge couplings held-out predictions. The shared circle is common U(1) phase and holonomy data rather than an additional Cartesian factor.