Accepting Soul without Life without zeta weapon?

I've been working on my artemis/yoichi bow for a while now and I got my zeta yesterday. I've already got past this point with my monk weapon, and thought to fast track the next few steps. I remembered that with the Soul without Life quest, you could trade the zeta weapon for the 2 crystals, but the weapon would be lost for good.

This is where my extra strength idiot pills kicked in. In my excitement of finishing my zeta and getting my new weapon, I went and traded my yoichi bow for the crystals before accepting the quest. Now I can't even find where to accept/complete it. Firstly, the obvious question: Is there a way I can get to the quest without having the zeta weapon in my inventory (I've tried having the replica, but no luck)?

Secondly, I'll assume I can't and I'm s**t-outta-luck. Am I able to start the artemis bow quest again? I tried, but couldn't see how. Any help is appreciated, but I'm not going to hold out for good news :(

Anyway,
Thanks to all in advance

You don't need a Zeta for the level 60 relic, the quest start is in Azys La near the aetherite. If you arn't working on another 60relic on the first step you can accept the starting quest for the 60relic, all you need is a level 60 job for the corresponding relic.

Ahh, there lies my problem. I was going to the right place, but my bard is still only 59 (/headslap). Figures it was something simple. Thanks!