The compact configuration of Phase II of the Murchison Widefield Array (MWA) consists of both a redundant subarray and pseudo-random baselines, offering unique opportunities to perform sky-model and redundant interferometric calibration. The highly redundant hexagonal cores give improved power spectrum sensitivity. In this paper, we present the analysis of nearly 40 hours of data targeting one of the MWAs EoR fields observed in 2016. We use both improved analysis techniques presented in Barry et al. (2019) as well as several additional techniques developed for this work, including data quality control methods and interferometric calibration approaches. We show the EoR power spectrum limits at redshift 6.5, 6.8 and 7.1 based on our deep analysis on this 40-hour data set. These limits span a range in $k$ space of $0.18$ $h$ $mathrm{Mpc^{-1}}$ $<k<1.6$ $h$ $mathrm{Mpc^{-1}}$, with a lowest measurement of $Delta^2leqslant2.39times 10^3$ $mathrm{mK}^2$ at $k=0.59$ $h$ $mathrm{Mpc^{-1}}$ and $z=6.5$.
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