You need to compare within narrower age groups. Older people are more likely to be vaccinated and more likely to die.
https://leadstories.com/hoax-alert/2021/11/fact-check-vaccin...
https://leadstories.com/hoax-alert/2021/11/fact-check-vaccin...
The original (official) data shows how likely is someone to die if vaccinated vs unvaccinated. "Rate" part of "Death rate" means the number of deaths is already divided by the population in one of the groups (vaccinated or not), so the size of a group doesn't affect the rate.