It's been established that vaccinated people can get Covid and that they can infect others. Just yesterday - an outbreak on a cruise ship: https://www.houstonchronicle.com/news/houston-texas/galvesto... This is a pointless exercise, people must get vaccinated to reduce the load on the healthcare system, but widespread vaccination on its own won't make enclosed spaces safe.
Source https://twitter.com/EdTubb/status/1426182876383612931
and
https://data.ontario.ca/dataset/covid-19-vaccine-data-in-ont...
And everyone vaccinated that got COVID on that cruise had low or no symptoms, which is a pretty good outcome if you compare to all those unvaccinated people in hospitals in Florida right now.