An asymptotic $\Gamma$-BMT inequality
We refine a bound of Cheng-Feyzbakhsh to prove an asymptotic $\Gamma$-Bayer-Macr\`i-Toda ($\Gamma$-BMT) inequality on every smooth polarized complex threefold. The proof relies on a reduction to small tilt stability parameters. Using this inequality we verify Feyzbakhsh-Thomas's condition $(wBG)$ whenever $K_{X}$ is nu...