Just apply. Google is actively hiring all year round.
Frankly, it's been the best hourly return on investment of anything I've done in my life up to this point, by far. Assuming I wouldn't have gotten the job otherwise (which seems reasonable), each of those hours spent studying has proven to be worth several tens of thousands of dollars. I'm not exaggerating; I just did the math.
Maybe the interviewing process is broken or sub-optimal or whatever, but it is what it is, and if you can get through it by doing some additional studying, then it's absolutely worth it. Google is a good place to work on designing big systems, so if that's your interest, consider just putting in the work.