COVID AND THE VACCINE - TRUTH, LIES, AND MISCONCEPTIONS REVEALED, page-56345

The CDC has not finally admitted natural immunity works they has said that early on in the pandemic but also said they did not know how long it lasted,maybe you should do some research and go to the primary source rather than relying anti vaccine sources for your information.

Background

CDC recommends COVID-19 vaccination for all eligible persons, including those who have been previously infected with SARS-CoV-2 ^[1]. As of October 28, 2021, more than 45 million COVID-19 cases and over 740,000 deaths have been reported in the United States (US) ^[2]. Data from a seroprevalence survey that assessed for presence of antibodies and history of vaccination among US blood donors from January to August 2021 suggest that approximately half of previously infected adults in the US have not been vaccinated ^[3].

Both SARS-CoV-2 infection and COVID-19 vaccination induce an immune response that initially confers high levels of protection against symptomatic COVID-19 illness. This brief contains a review of evidence regarding vaccine-induced immunity and infection-induced immunity, including the initial immune response, antibody decay kinetics, protection from subsequent infection, impact of new variants, and effect of vaccinating previously infected individuals.

https://www.cdc.gov/media/releases/2021/s0806-vaccination-protection.html