  In this paper, we extend the theory of Ricci flows satisfying a Type-I scalar
curvature condition at a finite-time singularity. In [Bam16], Bamler showed
that a Type-I rescaling procedure will produce a singular shrinking gradient
Ricci soliton with singularities of codimension 4. We prove that the entropy of
a conjugate heat kernel based at the singular time converges to the soliton
entropy of the singular soliton, and use this to characterize the singular set
of the Ricci flow solution in terms of a heat kernel density function. This
generalizes results previously only known with the stronger assumption of a
Type-I curvature bound. We also show that in dimension 4, the singular Ricci
soliton is smooth away from finitely many points, which are conical smooth
orbifold singularities
