  nEXO is a proposed experiment to search for the neutrino-less double beta
decay ($0\nu\beta\beta$) of $^{136}$Xe in a tonne-scale liquid xenon time
projection chamber (TPC). The nEXO TPC will be equipped with charge collection
tiles to form the anode. In this work, the charge reconstruction performance of
this anode design is studied with a dedicated simulation package. A
multi-variate method and a deep neural network are developed to distinguish
simulated $0\nu\beta\beta$ signals from backgrounds arising from trace levels
of natural radioactivity in the detector materials. These simulations indicate
that the nEXO TPC with charge-collection tiles shows promising capability to
discriminate the $0\nu\beta\beta$ signal from backgrounds. The estimated
half-life sensitivity for $0\nu\beta\beta$ decay is improved by
$\sim$20$~(32)\%$ with the multi-variate~(deep neural network) methods
considered here, relative to the sensitivity estimated in the nEXO
pre-conceptual design report.
