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The calculation of the decay $X(3872)\to D^0 \bar{D}^0 \pi^0$ in effectivefield theory is revisited to include final state $\pi^0 D^0$, $\pi^0\bar{D}^0$and $D^0\bar{D}^0$ rescattering diagrams. These introduce significantuncertainty into the prediction for the partial width as a function of thebinding energy. The differential distribution in the pion energy is alsostudied for the first time. The normalization of the distribution is againquite uncertain due to higher order effects but the shape of the distributionis unaffected by higher order corrections. Furthermore the shape of thedistribution and the location of the peak are sensitive to the binding energyof $X(3872)$. The shape is strongly impacted by the presence of virtual$D^{*0}$ graphs which highlights the molecular nature of the $X(3872)$.  Measurement of the pion energy distribution in the decay $X(3872)\to D^0\bar{D}^0 \pi^0$ can reveal interesting information about the binding nature ofthe $X(3872)$.

Revisiting $X(3872)\to D^0 \bar{D}^0 \pi^0$ in XEFT