Question about Anima Weapons.

Are these three stages anything like first stage relics? In that we can only work on one weapon at a time. Right now if I start Anima farming for one job, do I need to take it through stage 3 before I can begin another?

Has anyone on stage two or three tried to do this yet?

as soon as you finish the first part and get your 170 weapon you can restart it for another class

seems the only limitation is you can only work on one per stage at a time