As I understand it the AOB is irrelevant to your own course. It is the angle from the target's bow to your boat, with no consideration for the direction you are pointing to. The picture I made illustrates the situation where you want to point your bow at the target to take a shot at it, so it isn't actually where I pictured it, it is traveling along the red line and the AOB values I gave are only good at the two moments where this red lines meet the relative bearings to your boat (which did not move significantly, only turned it's bow). In other words, it is the AOB at 000 gyro angle. It changes because you are pointing to a point further along the target's trajectory and then waiting for the target to get there.
I'm not exactly sure about what you posted since you don't specify the target's course change but if you were to match it exactly then I don't think there would be a significant change in AOB, as long as you turn quickly enough.
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