Why didn't Jon mention the sword?
What does everyone think about this? It easily could be an oversight by the Double D's. But my in universe explanation is going that he killed a white walker with it. If I were him, and I had a weapon that, for all I know is the only thing other than dragonglass that can kill white walkers, and Lady Mormont asked for it back I would answer "NOT GON' BE ABLE TO DO IT" (To quote the American philosopher, Jalen Rose).
Now that Jorah is going north of the Wall with him you could make an argument that Jon should give it to him. But I would counter that not only did Jeor personally give Jon the sword but Jorah disgraced his house and Jon knows that. Jon is the head general in war against the Night King, he needs to survive this expedition and thus should have the valyerian steel. A good general (which I'll admit, Jon isn't always) would know that. I'm totally fine with him keeping it to himself.
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