You do not need to pay for the Elite or Elite+ Pass for this achievement.
This achievement will become available on the 21st of September 2020 (Week 10/10)
You will need to complete all 160 tasks in the campaign for this achievement
Tasks are very easy to complete and if you have enough gems you can pay to skip them.
This achievement and all previous achievements are not locked specifically to this campaign so If you miss it this time around you can retry next time. Campaigns are going to run for 10 weeks, have a 1 week break then return for another 10 week campaign.