What part of the country are you in? And what counts as "pretty easy to get"? In California, the most populous state, people under 50 are not generally even eligible to try to get an appointment for another two days. I don't know how it is in other states, but I don't think this is unusual.

That the vaccination rate is supply-limited is manifest in the fact that less than a third of the U.S. population has been vaccinated at all.

Yes, there are places where there are vaccine surpluses, but this is not because the supply isn't the limiting factor. It's because in some rural areas there are large numbers of vaccine denialists who are choosing to forego the vaccine altogether. That leaves some localized surpluses. But overall supply is still the limiting factor, and it will continue to be until everyone who wants a vaccine can get one without having to wait.