It doesn't take another scientific study to know that COVID-19 is an infectious disease. In simpler language, it can be spread from one infected person to another. Likewise, it doesn't take another scientific investigation to know that the COVID vaccines greatly reduce the risk of death, of highly symptomatic infections that often require hospitalizations to have the best chance of survival, and of acquiring COVID infections. It has also been established that the risk of transmission is directly related to quantity of infectious viral particles shed by an infected person and also that the severity of infection symptoms and bad outcomes is correlated with the viral load carried by an infected person. Therefore, in conclusion, if the vaccine reduces the rate of infection and reduces the viral load in those who do become infected after vaccination (so called break-through infections), it will reduce the rate of transmission to others. No study is required to "prove" that. The article cited immediately above is rabble rousing political propaganda. According to the well referenced Wikipedia article, "The Gateway Pundit (TGP) is an American far-right[2] fake news website.[1] The website is known for publishing falsehoods, hoaxes, and conspiracy theories."
Once again, you seem to thrive on reading and sharing authentic fake news.