  We report the serendipitous observations of 571 luminous supergiants in the
Magellanic Clouds by the spectroscopic GALAH and TESS-HERMES surveys: 434 stars
in the Large Magellanic Cloud and 137 in the Small Magellanic Cloud. We also
find one star that appears associated with structured star formation in the
Magellanic Bridge. Both of these surveys are aimed at the local volume of the
Galaxy but have simple, magnitude-limited selection functions that mean they
include some observations of luminous extra-Galactic stars. The surveys
determine stellar parameter and abundances using The Cannon, a data-driven
generative modelling approach. In this work, we explore the results from The
Cannon when it is fed the spectra of these intrinsically luminous supergiants
in the Magellanic Clouds, which are well outside the normal bounds of The
Cannon's training set. We find that, although the parameters are
astrophysically incorrect, the $v\sin i$ and the abundances of lithium, barium,
and magnesium are excellent discriminants of these stars. It shows that in the
future, with an expanded training set, it should be possible to determine
accurate values for these types of stars.
