  We revisit necessary conditions for gluing local (anti-)D3 throats into flux
throats with opposite charge. These consistency conditions typically reveal
singularities in the three-form fluxes whose meaning is being debated. In this
note we prove, under well-motivated assumptions, that unphysical singularities
can potentially be avoided when the anti-branes polarise into spherical NS5
branes with a specific radius. If a consistent solution can then indeed be
found, our analysis seems to suggests a rather large correction to the radius
of the polarization sphere compared to the probe result. We furthermore comment
on the gluing conditions at finite temperature and point out that one specific
assumption of a recent no-go theorem can be broken if anti-branes are indeed to
polarise into spherical NS5 branes at zero temperature.
