AMPs - how to make SERPs load CloudFlare's cache?

I have a client site with some AMPs. When clicked from a google result, it loads from google’s cache, adds their branding and header (with some extra javacript), and breaks part of the AMP.

Is there a way to get the AMP indexed such that google will load it from Cloudflare instead of the Google AMP cache?

Google AMP Cache: (load in a mbile browser to see the header/logo get jittery when you scroll.