On the other hand, if you had a real infection by the virus, you likely have antibodies for the spike protein and other part of the virus like the shell. So from my layman understanding, the immunity should be more resistant to a mutation of the spike protein.
That being said I also know someone who got Covid 2 times, once in march 2020 and once in april 2021. (Confirmed by PCR the 2 times). The second time was much milder, but still she had to stop working for a week (versus one month the first time). It is still possible it was a defective test the second time, and something else than Covid.