Post some more pics.
Showing that cartridge from straight on, to see what is inside that outer sleeve.
With light shining inside.
Then show pics of the whole valve set-up, with both hot and cold, and a diverter if it has one.
And a pic of the trim on the side that is not leaking.
Meanwhile, it looks like that outer sleeve has two flat spots to accept an open end or Crescent type wrench, to be able to unscrew it, or it might just wiggle off if not threaded.
That would expose the cartridge, to be unscrewed, assuming that sleeve and the cartridge are not all one unit fused together.