  The metric flow is introduced and extensively studied by Bamler [Bam20b,
Bam20c], especially as an $\mathbb{F}$-limit of a sequence of smooth Ricci
flows with uniformly bounded Nash entropy, in which case each regular point on
the limit is a point of smooth convergence. In this note, we shall consider the
$\mathbb{F}$-convergence of a sequence of $\mathbb{F}$-limit flows, and, like
Bamler, show that each regular point on the limit is also a point of smooth
convergence. The main result will be applied in a forthcoming work of the
authors [CMZ23].
