I'm trying to look up what this CCI thing is, but I don't seem to get further than simply "use the language". Do you have a good resource that explains how to apply the method or, if applicable, an example of a CCI course?
That's basically all it is. Find compelling content that is basically comprehensible at your level and consume it. You'll need to translate it, but you don't need that to be rigorous or to perfectly understand it. As long as you comprehend it in the end, you'll start to learn the patterns of the language subconsciously.
It's essentially a move from memorization and learning language as if its math to how children naturally learn language through exposure.