The same argument can be made for Covid itself too and is also an anti-vaxx argument.
Everything we do has risks and we determine whether or not they're reasonable.
With vaccines, enough countries have said some have acceptable risk profiles (Pfizer and Moderna) and some are too risky (AstraZeneca).
You're missing that the probability of getting Covid is less than 1. And that bad symptoms from Covid are highly age dependent.
The AZ vaccine has been banned or disused in many countries (it's not even approved in the US!). Do you know something multiple world governments don't?
With vaccines, enough countries have said some have acceptable risk profiles (Pfizer and Moderna) and some are too risky (AstraZeneca).