1997 or close to it.
1997 Fuji Finest - BikePedia (the description matched the frame tubing, rims, component group, color). $680 MSRP close to 20 years ago.
The right shifter pod seems to be a cheaper replacement. Maybe that will get them to budge on their firm price? Still, what they're asking seems fair. Maybe others that know 90's bikes will have a better idea on the correct valuation. Make sure it fits and everything works when test riding.