Ok so I've done 99% of the damage on the enemy, and then my buddy next to me fires one shot and gets my kill!
While there may not be anyway to fix this problem when in a fireteam, it can be alleviated by simply having a "damage dealt" stat at the end of the mission.
That way along with No. of kills, we can also see who dealt the most amount of damage in the fireteam.
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Would be nice