There's something horribly wrong with your link [3].
"The first study saw a drop of 78%, and the second 41%, in infectiousness — with the large difference in numbers perhaps explained by the fact that the estimates are based on a very small number of vaccinated people who were infected and then infected others. ... The results correspond well with studies conducted elsewhere. One analysis3 of some 365,000 households in the United Kingdom, published on 23 June, estimated that individuals infected with SARS-CoV-2 were 40–50% less likely to spread the infection if they had received at least one dose of the Pfizer–BioNTech vaccine or that developed by the University of Oxford, UK, and pharmaceutical company AstraZeneca, based in Cambridge, UK, at least three weeks previously. A study4 from Finland, posted as a preprint on 10 July, found that spouses of infected health-care workers who had received a single dose of the Pfizer–BioNTech vaccine or that produced by Moderna in Cambridge, Massachusetts, were 43% less likely to get infected than were spouses of unvaccinated health workers." (https://www.nature.com/articles/d41586-021-02054-z)
"The study shows that people who become infected with the Delta variant are less likely to pass the virus to their close contacts if they have already had a COVID-19 vaccine than if they haven’t1. But that protective effect is relatively small, and dwindles alarmingly at three months after the receipt of the second shot. ... Unfortunately, the vaccine’s beneficial effect on Delta transmission waned to almost negligible levels over time. In people infected 2 weeks after receiving the vaccine developed by the University of Oxford and AstraZeneca, both in the UK, the chance that an unvaccinated close contact would test positive was 57%, but 3 months later, that chance rose to 67%. The latter figure is on par with the likelihood that an unvaccinated person will spread the virus." (https://www.nature.com/articles/d41586-021-02689-y)
"The first study saw a drop of 78%, and the second 41%, in infectiousness — with the large difference in numbers perhaps explained by the fact that the estimates are based on a very small number of vaccinated people who were infected and then infected others. ... The results correspond well with studies conducted elsewhere. One analysis3 of some 365,000 households in the United Kingdom, published on 23 June, estimated that individuals infected with SARS-CoV-2 were 40–50% less likely to spread the infection if they had received at least one dose of the Pfizer–BioNTech vaccine or that developed by the University of Oxford, UK, and pharmaceutical company AstraZeneca, based in Cambridge, UK, at least three weeks previously. A study4 from Finland, posted as a preprint on 10 July, found that spouses of infected health-care workers who had received a single dose of the Pfizer–BioNTech vaccine or that produced by Moderna in Cambridge, Massachusetts, were 43% less likely to get infected than were spouses of unvaccinated health workers." (https://www.nature.com/articles/d41586-021-02054-z)
"The study shows that people who become infected with the Delta variant are less likely to pass the virus to their close contacts if they have already had a COVID-19 vaccine than if they haven’t1. But that protective effect is relatively small, and dwindles alarmingly at three months after the receipt of the second shot. ... Unfortunately, the vaccine’s beneficial effect on Delta transmission waned to almost negligible levels over time. In people infected 2 weeks after receiving the vaccine developed by the University of Oxford and AstraZeneca, both in the UK, the chance that an unvaccinated close contact would test positive was 57%, but 3 months later, that chance rose to 67%. The latter figure is on par with the likelihood that an unvaccinated person will spread the virus." (https://www.nature.com/articles/d41586-021-02689-y)