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Given a skew shape $ \lambda / \mu $ and a flag $\Phi,$ we show that the setof all flagged reverse plane partitions of shape $\lambda / \mu$ and flag$\Phi$ is a disjoint union of Demazure crystals (up to isomorphism). As aresult, the flagged dual stable Grothendieck polynomial $g_{\lambda/\mu}(X_\Phi)$ is shown to be key positive.

Demazure crystal structure for flagged reverse plane partitions