  There is strong evidence for the formation of small droplets of quark-gluon
plasma in $p/d/^{3}$He+Au collisions at the Relativistic Heavy Ion Collider
(RHIC) and in $p$+$p$/Pb collisions at the Large Hadron Collider. In
particular, the analysis of data at RHIC for different geometries obtained by
varying the projectile size and shape has proven insightful. In the present
analysis, we find excellent agreement with the previously published PHENIX at
RHIC results on elliptical and triangular flow with an independent analysis via
the two-particle correlation method, which has quite different systematic
uncertainties and an independent code base. In addition, the results are
extended to other detector combinations with different kinematic
(pseudorapidity) coverage. These results provide additional constraints on
contributions from nonflow and longitudinal decorrelations.
