Needing some help with re-wiring the alternator to the Starter/solenoid. Had issues before when I first bought the mini and with a bit of learning have found out the degraded brittle wire I partly removed which might have been the fuse wire which is labelled 32 (Red) on the below diagram.

I believe I have a fault in the wiring here and causing intermittent problems with the running of the car and want to know what I need for this job.
3 pin connector to alternator is fine and new. It has one small wire which I believe goes to battery light on dash which is ok.
The 2 thick wires Are ok and run down into a wire wrapped area and join together into the fuse wire which then goes to starter. It’s this part I’m not sure what to replace it with. Currently I only have about an inch of the fuse wire left as it just broke off and crumbled the last time I checked it and therefore just removed the old stuff and connected back up with what was left of the wire.

What amp rated wire will I require (think I have some 17amp Halfords wire but think it’s not enough) and what can i use as a fuse wire as they are hard to find and even not sure what amp I need ???
Have read I could use a yellow 80a fuse instead of fuse wire.
Has anyone got some info on what I need to do to replace this safely. Not great at knowing what type of wires in need
Thanks