Thanks for the report, that's really strange !
I'll check for it.
PS: Tineli gem is from her necklace
I will see if that's in my inventory next time I'm on my clean run. I will let you know if it's not, somehow.
Slightly more concerning is the fact the blue orb wouldn't activate even though I had the item in my inventory. If only because it meant it was difficult to attempt to fix a potentially more serious problem.
EDIT: I did overlook the necklace drop that included her orb. Now have 2 and the bridge is properly unlocked now.
Now I've come across another bug though. If you get both the Rematch and Recollection room in your Jimeng Home, and enter the Recollection Room (which will have everything unlocked, btw), it'll unlock all of the fights in the Recollection room.