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At one point when I was just starting out kept the bullet object, but things didn't seem to ever match up at the time (I probably just didn't know what I was doing). So I ditched it.

So yeah, I just fudge it now too. If it is within x of a wave, and that wave is the closest, then that wave is the wave the bullet is from.

But for longest time I had this weird bug in my detection which I finally found out was an enemy firing on the same turn it died (thus I could not detect its firing). So I just kept the heat wave, which solved the problem most the time.