I picked up a tiny nail in my rear tire, it looks like the sort of thing that should be easy to patch but when calling GW they said no can do, the tire must be replaced because it's a safety issue. The tire is a ~1 year old Michelin Pilot Road 4.
Here is the nail in question, the head is just a few mm across and the shaft is much thinner:
» Click image for larger version
It is not leaking fast, it takes about 4 days to go from 36psi to 25psi.
Does this look like it can be patched, and if so, where should I take it?
I have no problem removing the rear wheel and just bringing it in loose.