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Small edit that shows how to use a 1 pixel movement in the arm for extra weight. Pypebros might have a point with the arc, but I tried it and a pixel really does a lot to the animation. The full arc might not be feasible, hence why I did this halfway there thing where the arm just pulls some extra weight on the animation.
It does seem to affect the limp a lot, so it depends on what you want for this character.