  We perturbatively study marginally relevant quenched disorder in
AdS$_3$/CFT$_2$ to second order in the disorder strength. Using the
Chern-Simons formulation of AdS$_3$ gravity for the Poincar\'e patch, we
introduce disorder via the chemical potentials. We discuss the bulk and
boundary properties resulting from the disorder averaged metric. The disorder
generates a small mass and angular momentum. In the bulk and the boundary, we
find unphysical features due to the disorder average. Motivated by these
features, we propose a Poincar\'e-Lindstedt-inspired resummation method. We
discuss how this method enables us to remove all of the unphysical features and
compare with other approaches to averaging.
