A movie with a scene, where a man holds a sword by its blade to save someone

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Hi,
I recently thought of this specific movie scene, but I have no idea from what movie it was (I am sure it was animated). There was a guy who was holding his sword by the blade. He was doing so to save this person (I don’t remember who it was), who was dangling over a cliff or a bridge. It was very emotional scene and it even depicted the bleeding of the guys hands, as the sword slowly sliced them open. I can also remember that in the end he didn’t save the other person.

Thank you for your answers they will be greatly appreciated, because I am honestly starting to think I made this scene up, but my brother swears he has seen it too.

Have a great day. 😊

Edited question