If you're using the Gyeon mild leather cleaner, it likely will not remove that dye transfer. Gyeon strong leather cleaner and a Gyeon leather brush (or similar) to slightly agitate and then wipe with a damp then dry microfiber might do the trick.
I've also had excellent experience with using CarPro Inside to remove dye transfer from BMW leather seats.
Since you have perforated leather, I would also use a vacuum cleaner to gently pull out any remaining cleaner from the holes on the surface.
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