There exists a continuous retraction $\pi:X^{\an}\rightarrow\Sk(X)$ such that

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  $\pi$ can be written as a composition $\pi^{\prime}\circ\rho_{\mathscr{X}^{\prime}}$, with $\mathscr{X}^{\prime}$ being an snc model of $X$ and $\pi^{\prime}:\Sk(\mathscr{X}^{\prime})\rightarrow\Sk(X)$ a piecewise-linear map;

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  $\pi$ is an affinoid torus fibration outside a piecewise-linear locus $\Gamma$, that has codimension $2$ and is contained in the $2$-skeleton of $\Sk(X)$;

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  $\pi$ induces an integral affine structure on $\Sk(X)\setminus\Gamma$, which is isomorphic to the ones constructed in [Gro01], [Gro05], and [Rua01].