GCFT Luxion Dressing and the \(B_c(1P)\) Multiplet: A No-New-Knob Candidate Closure for Mixed-Heavy Orbital Spectroscopy

This research note reclassifies the unsafe GCFT mixed-heavy \(B_c(1P)\) ledger value of \(6778.410\) MeV as an undressed scalar-projection orbital transport value rather than an observed centroid. Applying a frozen hyperfine-deficit luxion dressing with no new \(B_c\)-specific fitted parameter gives \(M_{1P,\mathrm{dressed}} = 6752.569\) MeV, within \(0.169\) MeV of the LHCb upper effective \(B_c(1P)^+\) peak at \(6752.4\) MeV. The result is presented as a post-hoc candidate closure and future-test hypothesis, not as a prior prediction or confirmation of GCFT.