MedRx preprint… Breakthrough SARS-CoV-2 infections in 620,000 U.S. Veterans, February 1, 2021 to August 13, 2021

So, they seem to say roughy a 40% drop in protection against 'any severity', in 6 months.

Presumably, assuming a linear drop (which it doesn't look like to me, it looks more like an sort of exponential type thingy curve) then that would mean only 10% 'any severity' protection remaining after 12 months.
 
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