Animals carry lots of nasty diseases, Ebola, rabies, SARS, MERS, etc., yet these are under control in large parts of the world, thanks to basic hygiene. If we were willing to follow e.g. New Zealand's example, committing to actually applying what we have learned about containing local outbreaks, maybe we couldn't eradicate SARS-CoV-2 and its variants, but we could do so much better at controlling it, allowing us to largely go back to normality.
Yeah, I haven't seen a lot of discussion of this, but cats, hamsters, guinea pigs, and mink is a lot of other mammal species already proven to be able to pass it on. I think we will never live in a covid-19 free world again, it will be like measles; always in circulation, but hopefully we get effective vaccines against it.
Natural reservoirs of covid-19 means we'll all need boosters yearly for the rest of our lives.