...through your link, as well as the links within the link, but i was not able to find the specific studies used to make these govt recommendations. The closest I got was the official ongoing research website, but i did not see a study on the booster that had results available.
Ever since the Biden admin went against the advise of its' FDA and CDC Advisory Panels last Fall (and later reconstituted them which to some brings up the spectre that they potentially changed "experts" to get the result that they wanted), I think it is very important to evaluate the actual data. Plenty of blindly trusting people might take your link as an actual answer, but in fact, it simply says what the CDC recommends and appears to require simply trusting the government experts. Since the people needing to be convinced do NOT trust the govt and Fauci, etc., it would be far more helpful to post the actual studies.
Perhaps I missed the actual study hidden in your link in which case, please provide it, if yu would. If you also cannot provide the specific studies, then you should realize that your post provides no actual evidence, and adds nothing new since everyone knows how the present CDC stands on this issue.
Again, this is about presenting facts to skeptics, not providing smug hugs to believers.