The VAERS database has to be read with one's brain engaged. There's useful data there cluttered up with garbage. That's largely because of how it is structured. It is designed for people to report anything and everything regardless of reasonableness.
First off, to get your 32k+ number you have to include reports from outside the US where data reporting accuracy and our resulting ability to analyze is much worse. So look at US only. You'll initially get a number of 18,950 "death events reported" under the covid vaccinations. But wait...the next column says that is 120%...how can that be? Welp...there's really only 15,732 "deaths"...Obviously people double reported events...e.g. John Doe came to the ER and died. Before dying he tells them he had his Moderna booster two days ago and had a Pfizer initial shot 6 months ago...Nurse dutifully inputs John as a death under Modera booster 1212 and Pfizer original dose 1200 (even though that was 6 months back).
Garbage in, garbage out
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This is a dubious claim. How do you know these events weren't reported to VAERS? If they went to the ER and told the ER team they had just been vaccinated (note, I'm assuming they were just vaccinated although you didn't state that) then if the ER team did not report it to VAERS they broke the law. They are required by law to report any such adverse event to VAERS. If these events happened, the ER team almost certainly did report them...although they may not have told the patient that they did so.
vaers.hhs.gov
So we have 15,732 deaths reported in some proximity to covid vaccination in the US. Coincidence doesn't equal causality. Some percentage of these is most certainly unrelated to the vaccine. But for the sake of argument, lets take your data as the worst case and assume all 15,732 deaths were directly caused by the covid vaccine. In the US, we have administered 660,400,812 doses of the covid vaccines. So if every single on of those VAERS deaths was caused by the covid vaccine, then the vaccine has a death rate of 0.0024%.
Conversely, in the US we have had 101,743,845 cases of covid and of those 1,112,944 people died. That's a death rate from the covid disease of 1.094%. You're 457 times more likely to die from a case of covid than you are from a covid vaccination.