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I pinch-flatted on the Slovakian parcours descent two years ago and spent ages in a bike shop trying to fix the issue with three dudes trying to get a tyre on. In the end my SuperThumbs™ prevailed but it wasn't half annoying/stressful.
Another thing I thought about was using the GP5000 TL version but running with tubes. They have a sidewall that's similar to the PRO4s in thickness but might roll faster, even with a tube installed.
The decent on CP2 is my major worry