Freeloading with vaccination only works if just a small enough minority of people are doing it. In order to minimize your personal risk from both covid and potential side effects of vaccination, you should be advocating for others to get vaccinated but not get the shot yourself.
If you publicly announce that you are not going to get the vaccination, that may encourage others to avoid it as well. That's against your own interests, because then it's more likely that you get covid when the vaccination coverage in the population is lower.