I got another Bloodsoaked Ruins(failed to get Varka's sword), do i give it to Ineffa or use it for refinement?

I was trying to get Varka's sig but lost to Flin's sig (I already have one T-T). So should I just give this copy to my Ineffa or should I use it to for refinement? My Ineffa is already holding PWJS though so I'm kind of tempted to just use it for refinement.