Its just a big wool carpet.

Clean it like you would any ( fitted ) wool carpet .
Pre vac- pre spray ( wool safe, low PH ) - agitate with a pile brush -rinse with prochem fibre n fabric rinse. Turbo dry.
You will prob need a big poly sheet to put it on to protect the surrounding floor from over spray.
I use a mat, or carpet piece, to place under the fringe when cleaning. Spray with a micro splitter, scrub, rinse. ( with hand tool)
Cut a length of poly sheet and place under the fringe to protect floor surface and prevent dirt from floor wicking back onto wet fringe.
Job done

Like i said earlier, its just a bloody big piece of wool carpet.
Done hundreds over the years. You’ve checked for colour fastness, so go for it mate.
regards
Chris