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[Wyvern]

There are only a couple of vanilla ships that have this issue - might it be worth calculating a simple rectangular bounding box and using that as a secondary range check once shields are down?  While I can imagine modded ships that might not be overly helped by such (something caltrop-shaped comes to mind), it ought to be adequate for ships like the Conquest, Apogee, or Brawler.

Edit: It ought to even be possible to compare the bounding box to the bounding circle, and opt to not use the box unless it's sufficiently smaller - most ships don't need a bounding box at all.