  The `brane quantisation' procedure is developed by Gukov and Witten
\cite{Gukov:2008ve}.
  We implement this idea by combining it with the tilting theory and the
minimal resolutions. This way, we can realistically compute the deformation
quantisation on the space of observables acting on the Hilbert space. We apply
this procedure to certain quantisation problem in the context of generalised
K\"ahler structure on $\mathbb{P}^2$. Our approach differs from and complements
that of Bischoff and Gualtieri \cite{Bischoff:2021ixy}.
  We also benefitted from an important technical tool: a combinatorial
criterion for the Maurer-Cartan equation, developed in \cite{BarmeierWang} by
Barmeier and Wang.
