  Similarly to light, gravitational waves can be gravitationally lensed as they
propagate near massive astrophysical objects such as galaxies, stars, or black
holes. In recent years, forecasts have suggested a reasonable chance of strong
gravitational-wave lensing detections with the LIGO-Virgo-KAGRA detector
network at design sensitivity. As a consequence, methods to analyse lensed
detections have seen rapid development. However, the impact of higher-order
modes on the lensing analyses is still under investigation. In this work, we
show that the presence of higher-order modes enables the identification of the
individual images types for the observed gravitational wave events when two
lensed images are detected, which would lead to unambiguous confirmation of
lensing. In addition, we show that higher-order mode content can be analyzed
more accurately with strongly lensed gravitational wave events.
