  Employing the AMPT transport model, we investigate the response of the
rapidity-even dipolar flow ($\mathrm{v^{even}_{1}}$) and its associated Global
Momentum Conservation (GMC) parameter $\mathrm{K}$ to structural disparities
within $^{96}$Ru and $^{96}$Zr nuclei. We analyze $\rm Ru+Ru$ and $\rm Zr+Zr$
collisions at a center-of-mass energy of $\sqrt{\textit{s}_{NN}}$ = 200 GeV.
Our analysis demonstrates that the eccentricity $\varepsilon_1$,
$\mathrm{v^{even}_{1}}$ and $\mathrm{K}$ exhibit subtle yet discernible
sensitivity to the input nuclear structure distinctions between $^{96}$Ru and
$^{96}$Zr isobars. This observation suggests that measuring $v^{\rm even}_{1}$
and the GMC parameter in these isobaric collisions could serve as a means to
fine-tune the comprehension of their nuclear structure disparities and offer
insights to enhance the initial condition assumptions of theoretical models.
