Help stuck end cap on brake cable

[Stevec047]

So I am replacing all my brake cables as the current ones have seen better days.

I have started on the front and having removed the old bar tape and undoing the retaining bolt on the caliper I have been able to pull the old cable through the shifter hood. The problem is I slowly pulled the outer from the hood but have noticed the end cap is stuck in the hood which has meant that I can't route the new cable. Anyone any ideas how to remove the old end cap as I have limited access?

 

[rusty bearing]

Possibly some long nose pliers may get it.

 

[classic33]

Piano wire, pushing the cap back out the same way it came in!