  Bulk nuclear structure properties, such as radii and deformations, leave
distinct signatures in the final state of relativistic heavy-ion collisions.
Isobaric collisions offer an easy route to establish explicit connections
between the colliding nuclei's structure and the observable outcomes. Here, we
investigate the effects of nuclear skin thickness and nuclear deformations on
the elliptic flow ($v_2$) and its fluctuations in high-energy
$^{96}$Ru+$^{96}$Ru and $^{96}$Zr+$^{96}$Zr collisions. Our findings reveal
that the difference in skin thickness between these isobars only influences the
inherent ellipticity of the collision systems, $v_2^{\mathrm{rp}}$. In
contrast, differences in nuclear deformations solely impact the fluctuations of
$v_2$ around $v_2^{\mathrm{rp}}$. Hence, we have identified a data-driven
method to disentangle the effects of nuclear skin and nuclear deformations,
marking a significant step toward assessing the consistency of nuclear
phenomena across energy scales.
