  We construct a functor from the Hecke category to a groupoid built from the
underlying Coxeter group. This fixes a gap in an earlier work of the authors.
This functor provides an abstract realization of the localization of the Hecke
category at the field of fractions. Knowing explicit formulas for the
localization is a key technical tool in software for computations with Soergel
bimodules.
