Just to add on, you can still turn your weapons in and Drake will offer all the replicas for your Zeta weapons and previous steps, even if you have your Heavensward relics in various states.

In Mor Dhona you can turn in all your Zeta relics to Syndony for the Astral/Umbral nodules. (She's on the roof at a table) Once she "desynths" the Zeta weapons, all the relic replicas show up at Drake for each weapon she processed.

If Syndony is not an option to turn in weapons, start the quest Soul without Life from Ardashir in Azys Lla (doesn't matter what job).

You'll go to Mor Dhona and talk to Rowena and then Syndony on the roof.

You can turn in all your weapons all at once. No need to repeat the quest.