GCFT-0431: BF-Overlap Kink-Profile Docket — Integral Route for κAΞ(τ) Under the Blinded SM-G02 Kernel

This paper formalizes the BF-overlap and kink-profile integral required to derive the electroweak split coefficient product κAΞ(τ). The overlap integral, trace-neutral projector, and evaluation route are fully specified while identifying the remaining missing inputs, including BF expansion coefficients, electroweak projection kernels, overlap normalization, and RG transport. The work documents the computational pathway without performing endpoint evaluation.