While hunting for my hopscotch pilgrim i had these two rare pulse rifles drop, dead air 09f3 and echo 33. Both dropped with outlaw for me and the dead air had a reload perk which means it has maxed reload. The echo 33 has almost identical stats to my pilgrim.
Just thought id mention these two, for crucible they might be worth looking out for.
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I only know about the dead air and yeah it's pretty beast. I've had it since the vanilla days and I don't think I'll ever delete it even though I have things like the messenger and hopscotch and stuff haha