Use masterworked guns, huckleberry rains orbs if you have it mw. Equip super return perks in your class item, enhanced / light reactor for fusions (especially good for jotunn), dire artillery for fighting lion etc. Hunter top tree tether is probably the fastest to regen another super with against ads running orpheus rig, warlock with Phoenix protocal is also very good if your running huckleberry. Titans doom fangs and middle tree or bottom tree void can clear an almost entire area solo with the super regen on kills still.

Activate your super and kill things with your super, use roaming ones of course (put exotics that make them longer), and kill the most ads as possible, it takes longer than the other bright dust bounty yes, but it shouldn't be more than 5 games. During primeval phase in gambit prime use it to kill the envoys and their spawn, you have 9 enemies there if you beat your teammates to them. You should not be doing this bounty on regular gambit because you miss the opportunity to complete other regular gambit prime bounties as well (regular gambit bounties can be completed in prime except for the only one that asks you to kill 2 envoys, that one only works with the 2 envoys from regular gambit). Also be mindful of your teammates's super, as they create orbs for you to fast refill your own. If you are really committed to finishing these every week, you should also build yourself a reaper (green armor) set from reckoning tier 3, and place intelligence mods on all 5 pieces. (you should really do this anyways, since it's really useful in prime).

Kill stuff with your super. Titan use sentinel with doomfangs, hunter arcstrider with raiden flux and warclok stormcaller with crown. 4-5 supers is all it takes.