  We show that any $L^\infty$ Riemannian metric $g$ on $\mathbb{R}^n$ that is
smooth with nonnegative scalar curvature away from a singular set of finite
$(n-\alpha)$-dimensional Minkowski content, for some $\alpha>2$, admits an
approximation by smooth Riemannian metrics with nonnegative scalar curvature,
provided that $g$ is sufficiently close in $L^\infty$ to the Euclidean metric.
The approximation is given by time slices of the Ricci-DeTurck flow, which
converge locally in $C^\infty$ to $g$ away from the singular set.
