  We investigate the microlensing event KMT-2021-BLG-0322, for which the light
curve exhibits three distinctive sets of caustic-crossing features. It is found
that the overall features of the light curve are approximately described by a
binary-lens (2L1S) model, but the model leaves substantial residuals. We test
various interpretations with the aim of explaining the residuals. We find that
the residuals can be explained either by considering a nonrectilinear
lens-source motion caused by the microlens-parallax and lens-orbital effects or
by adding a low-mass companion to the binary lens (3L1S model). The degeneracy
between the higher-order 2L1S model and the 3L1S model is very severe, making
it difficult to single out a correct solution based on the photometric data.
This degeneracy was known before for two previous events (MACHO-97-BLG-41 and
OGLE-2013-BLG-0723), which led to the false detections of planets in binary
systems, and thus the identification of the degeneracy for KMT-2021-BLG-0322
illustrates that the degeneracy can be not only common but also very severe,
emphasizing the need to check both interpretations of deviations from 2L1S
models. From the Bayesian analysis conducted with the measured lensing
observables of the event timescale, angular Einstein radius, and microlens
parallax, it was estimated that the binary lens components have masses $(M_1,
M_2) =(0.62^{+0.25}_{-0.26}~M_\odot,0.07^{+0.03}_{-0.03}~M_\odot)$, for both
2L1S and 3L1S solutions, and the mass of the tertiary lens component according
to the 3L1S solution is $M_3=6.40^{+2.64}_{-2.78}~M_{\rm J}$.
