If your definition of immunity is “doesn’t kill you”, sure it doesn’t kill you. Usually.
But if you take the typical idea of immunity as “immune to this disease once you’ve had it” then catching covid does not make you immune at all. With some people catching it within 3 months or less of a previous infection. And given the rising evidence we’ve seen of how long covid occurs at startlingly higher rates from subsequent reinfections, it’s laughable that you would even consider the notion of immunity to covid at all. It has proven to move faster than we can adapt to it naturally or with science.
May we all remember fondly the one time america got what it fucking deserves.