This achievement requires winning a run without any artifacts. Since you are forced to choose gems for additional ember/space/cards, those don't count against you.
The easiest way to do this is by using Mutators. From the Standard Run menu:
- Choose clans & Champions (any will work)
- Set Covenant to level 1. Level 0 will work but you you will only have the crappy starting cards. Levels higher than 1 unnecessarily increases the difficulty.
- Add 3 beneficial mutators such as Mansion (+2 space on each floor), Burn Bright (+2 energy per turn), Cheap Trick (spells cost 1 less) or Fast Draw (friendly units get quick).
From there, play through as you normally would and win the run. Make sure you never take any artifact rewards (hit B to get 25 gold instead), don't accept any artifacts from Concealed Cavern events, and of course don't buy any.