  A Multi-Phase Transport (AMPT) model is used to investigate the efficacy of
several flow observables to constrain the initial-state deformation of the
Uranium nuclei in U$+$U collisions at nucleon-nucleon center-of-mass energy
$\sqrt{\textit{s}_{NN}}$ = 193 GeV. The multiparticle azimuthal cumulant method
is used to investigate the sensitivity of (I) a set of quantities that are
sensitive to both initial- and final-state effects as well as (II) a set of
dimensionless quantities that are more sensitive to initial-state effects to
the Uranium nuclei quadrupole shape deformation. We find that the combined use
of the flow harmonics, flow fluctuations and correlations, linear and
non-linear flow correlations to the quadrangular flow harmonic, and the
correlations between elliptic flow and the mean-transverse momentum could serve
to constrain the nuclear deformation of the Uranium nuclei. Therefore, a
comprehensive set of measurements of such observables can provide a quantifying
tool for the quadrupole shape deformation via data-model comparisons.
