What the achievement asks
Complete thirty Requisition or Bounty daily quests in Nazjatar. Ten points, account-wide, both factions.
Both kinds come from the boards in your faction's camp: requisitions ask you to hand in materials, bounties ask you to kill something. Either counts, and the two together give you more than enough each day.
Thirty is about a fortnight
There is no trick here and nothing to unlock beyond reaching the camp. The only decision is how many you take each day, and since the boards refresh daily the achievement is simply a fortnight of showing up.
Take both kinds every day even if one looks tedious. They count the same, and the limiting factor is the number of days rather than the effort in any one of them.
It is the spine of the whole zone
Nazjatar is built so that the daily circuit feeds everything else. The trip you make for these thirty quests is the same trip that finishes four other achievements:
- Nazjatarget Eliminated needs fifteen champions, each one a world quest that has to be up.
- Puzzle Performer needs six puzzle chests, all of them world quests on the same rotation.
- A Fistful of Manapearls wants a thousand pearls, which is what this work pays in.
- Tour of the Depths wants an emissary completed, which means a run of these anyway.
Doing the dailies without checking the world quest list is the one real mistake available here. Open the map first, see which champions and chests are up, and build the day's route around whatever you still need.