Hotfix 126.96.36.199 lands today, and it's solely aimed at fixing the glitch.
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Destiny 2: Hotfix 188.8.131.52 Patch Notes
Fixed an issue blocking progress of “The Lie” quest.
That means players will be able to get back to grinding for the shotgun in the days to come – although many are still disappointed with the grind-heavy structure of the quest.