This particular part felt just a little too difficult for hunters in comparison to the other 2 classes, partly because the nature of stasis is not around upfront damage but CC and partly because of the nature of the super which seems to have a mind of its own sometimes. Comparing to titan and warlocks who have agency in their super which can provide a lot of directed burst when needed to defeat specific targets. Unsure if assists actually count in this regard it felt extremely inconsistent. I usually waited until a different class used super in order get this part done. Most of the time it was teammates rolling the champions with swords, so progress was painfully slow. I used Salvation's Grip for even the slightest chance to make progress
Happy turkey day to all the Bungalow employee's, much love.
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Use a Stasis subclass, then equip only finishers which match your element (the default one will do just fine). Finish the champions and it will grant progress.