Reinfection with the same virus after recovery is not a thing.  If the immune system controlled it the first time, it doesn't have a chance to make you sick a second time (unless your immune system got impaired in the mean time, like with chemo or a bone marrow transplant).

Reinfection can Only happen if that virus has mutated enough to hide from you immunological memory (like the flu every year), but then that's not a reinfection but a a new infection with a new strain.  Which is not being reported.

This reinfection talk is a myth created by Chinese testing... false positives, followed by real positives (or more false postives).