You might go online and try to find a geometry chart for the Fuji .... even contact Fuji and ask for dimensions (pretty sure they have a few fork styles they use for a while ... 13 years is not ancient.
Fork might be: Fork FC-990 Fuji Bonded Carbon Trekking w/ 1 1/8" Cro-Mo Steerer
or----Fork: FC-770 Fuji Bonded Carbon Trekking w/ 1 1/8" Alloy Steerer, Disc tabs
You might look at :
https://archive.fujibikes.com/2010/Fuji/absolute-10-usa which lists a 45-mm fork offset.
I bet if you contacted Fuji they would tell you all about it and suggest a replacement from their modern stock, but once you have the details, it should be easy to buy a fork, I guess. Never needed to except once when I got a replacement from a dealer .... you should have not much trouble.
Nice looking bike.
And .... I have been restraining myself since you posted this thread, but I guess now I have earned the right:
Forks---top left-hand drawer under the sink, all the way on the left.