I'm friends with a meteorologist and the 15+ day forecast is the bane of their existence because you can't accurately forecast beyond a week so I would love to know how they are measuring accuracy. The article doesn't say and I know the paper is going to go over my head.
I would guess that everyday they're comparing the current weather against the forecast from 15 days ago. Not a lot of data points to be sure, but perhaps enough to have confidence of very high accuracy.
https://www.nature.com/articles/s41586-024-08252-9
See section "Baselines".