Sloppy steering

If the pitman arm is not moving, you have a defective gearbox. PERIOD. No such thing as slack in the steering even with it not running. That's just not true. Really simple to tell. Grab the steering shaft and rock it back and forth like you did in the video and look at the pitman arm. If the pitman arm is not moving the gearbox is the problem. If the pitman arm is moving, then you have bad parts in the steering linkage. But I am guessing that since it appears that you can move the steering shaft VERY easily, that the pitman arm is not responding at all.