Breakthrough cases among the already infected

Yes. Just like how vaccine-induced immunity fades over time, necessitating the use of booster shots, the immunity produced by natural infection also wanes unless a person is regularly exposed to the virus. The chances of reinfection are also increased when new variants like Delta and Omicron emerge.

You can also go into the 2020 or 2021 breaking news threads and search for the term “reinfect”, a lot of results pop up.