  In this work, a particular BRST-exact class of deformations of the b ghost in
the non-minimal pure spinor formalism is investigated and the impact of this
construction in the $\mathcal{N}=2$ $\hat{c}=3$ topological string algebra is
analysed. As an example, a subclass of deformations is explicitly shown, where
the U(1) current appears in a conventional form, involving only the ghost
number currents. Furthermore, a c ghost like composite field is introduced, but
with an unusual construction.
