Welcome to Apug!
Is there actually a finger/cam on that take-up spool? (The photo in the manual is not clear on that.)
Basically with this design of camera (I got a similar Fuji full-frame model, but with a different take-up spool) there is no hook-up and thus no cam necessary.
The film is transported by the sprocket-wheel and by this pushed onto the take-up spool.
It should be sufficient to turn the take-up spool so that the arrow at that coaxial clamp around it is located at the right side, and then to push the leader-start into the slit between the take-up spool and that clamp.
By closing the back door the pressure roller holds the film onto the sprocket wheel.
Whilst actuating the transport lever (and releasing inbetween) you see the rewind crank moving, as indicator of film transport.
(At first there will be a lag though, unless you rewound the film with the rewind crank just after closing the door, then you should feel the crank moving right away.)