The way to drive COVID to extinction is to reduce R₀, or reproduction rate, to less than 1. Vaccination might help achieve that. Herd immunity would certainly do a better job than vaccination.
An asynchronous COVID vaccination program, worldwide, can be reasonably expected to drive vaccine escape to give rise to evolutionary variants (delta variant, etc).
Because COVID vaccination confers partial immunity, even if COVID-19 vaccination had been rolled out synchronously, the number of people needed to be vaccinated to drive R₀ to less than 1 is unknown.
It’s time to start considering other available treatments, starting with Ivermectin.
See also:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8088823/