That link says, "During this time, VAERS received 6,789 reports of death (0.0019%) among people who received a COVID-19 vaccine." That does not say that the vaccine caused those deaths.
We've been getting vaccines for six months now. Any six-month period will have thousands of Americans die, especially since the vaccinations started with the oldest.
The same source—your source, your proof—then says, "A review of available clinical information, including death certificates, autopsy, and medical records, has not established a causal link to COVID-19 vaccines," which is exactly the opposite of what you are trying to say.
Oh wait, then it tells of possible TTS complications with the J&J vaccine. A little
research shows that the total death count from that is ... three.
Three, out of around 170,000,000.
Thanks for the link, though.