  Spin asymmetries provide a wide range of insights into nucleon structure and
hadronization. Recent measurements of beam spin asymmetries of $\pi^+\pi^-$
dihadrons from Semi-Inclusive Deep Inelastic Scattering (SIDIS) at CLAS12
provide the first empirical evidence of a nonzero $G_1^\perp$, the parton
helicity-dependent Dihadron Fragmentation Function (DiFF) encoding
spin-momentum correlations in hadronization. These measurements have been
extended to aid in the characterization of $H_1^\perp$ and
$H_1^\sphericalangle$, the DiFFs dependent on parton transverse spin, via a
multidimensional partial wave analysis, giving access to the dependence on the
interference of dihadrons of particular polarizations. Reconstruction of
$\pi^0$s allows for further extension of these measurements to $\pi^+\pi^0$ and
$\pi^-\pi^0$ dihadrons. The DiFFs describing $\pi^+\pi^-$ production differ
from those describing $\pi^+\pi^0$ and $\pi^-\pi^0$ production, which involve
different quark flavors along with a strong suppression of the exclusive
diffractive contribution. This presentation will focus on beam spin asymmetries
for $\pi^+\pi^0$ dihadrons, compared to those from $\pi^+\pi^-$ dihadrons,
which will help shed light on a more comprehensive picture of dihadron
fragmentation.
