  Owing to the forecasted improved sensitivity of ground-based
gravitational-wave detectors, new research avenues will become accessible. This
is the case for gravitational-wave strong lensing, predicted with a
non-negligible observation rate in the coming years. However, because one needs
to investigate all the event pairs in the data, searches for strongly-lensed
gravitational waves are often computationally heavy, and one faces high
false-alarm rates. In this paper, we present upgrades made to the \GOLUM
software, making it more reliable while increasing its speed by re-casting the
look-up table, imposing a sample control, and implementing symmetric runs on
the two lensed images. We show how the recovered posteriors have improved
coverage of the parameter space and how we increase the pipeline's stability.
Finally, we show the results obtained by performing a joint analysis of all the
events reported until the GWTC-3 catalog, finding similar conclusions to the
ones presented in the literature.
