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To be blunt, the chances of rain are about equal whichever route you take: North West Spain (Galicia) and the North of Portugal are very rainy regions. October is autumn and unpredictable. You might be lucky and get no rain at all, you might be...
Are you using Gronze to identify places to stay?
https://www.gronze.com/camino-frances
I would be quite surprised if the albergue in Roncesvalles were completely booked out.
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