It is axiomatically true that a repeated event that carries non-zero probability for an adverse effect increases the cumulative probability of said adverse effect when it recurs.

I don't need to show any work since covid infection AND reinfection has already been proven beyond any doubt to have non-zero risk of adverse effects on those that don't die from the infection. So either provide proof that covid reinfection carries 0 risk of permanent sequelae or stop wasting my time with the ridiculous claim that reducing the number of times someone is getting reinfected has no health benefit.