Hi Mike,
Having taken my FRP to France on a number of occasions I know what your worrying about, the repair kits are as good as use less.
But fear not if you look at the small print on your European breakdown cover, which is essential, it covers all cars that dont have a spare wheel, a breakdown vehicle will attend and arrange for the tyre to be replaced.
That said you could be looking at a long wait.
Modern tyres are pretty reliable never had a flat yet on the frp.
FRP 10th Anniversary Duxford