I've been double vaxxed but I haven't gotten the booster.

Will the booster prevent me from transmitting the virus to other people? I'm not really worried about myself at all. If I get covid I'll be fine. I'm curious as to how me getting the booster will benefit other people if it doesn't prevent me from transmitting the virus. I see a lot of data about how the booster will lessen the chances that I'll be hospitalized/ die, but I see nothing about transmissibility. What's the truth?

Also, since I'm here, I might as well say that I also haven't gotten the booster because I was told they'd open gyms up to me if I'm double vaxxed and I miss lifting weights. Now I'm being told to get boosted by a bunch of fucking dyel faggots that can't squat their own bodyweight. What's stopping "them" from demanding boost after boost from me? Anyway, I'm mainly interested in the transmissibility question. Thanks in advance.