Mosul has some interesting lessons. But we shouldn't get too focused on this one case. Urban warfare is in transition.
I was interested in the over-reliance on special forces in the first stage of the war. They're good, but but they're expensive, and grabbing and holding territory is not their job. This looks like the sort of mistake the US might make with its own forces.
Most important: this is not over. Daesh is not defeated. It isn't even driven out of all the territory it holds. And a coalition is most likely to fall apart when people are more worried about the post-war environment than they are in finishing off the original enemy.
What the Largest Battle of the Decade Says about the Future of War