In general, the third-generation HIV rapid tests are highly accurate, with very low rates of false negatives after the window period. The window period is the time between potential exposure to HIV infection and when a test can reliably detect the virus. For third-generation tests, the window period is usually around 3 to 12 weeks (or 21 to 84 days) after exposure, with the vast majority of cases being detected within 6 weeks (42 days).
While it's rare, there are some cases where HIV infection may not be detected during the window period, leading to a false negative result. However, if you've received a negative result at 60 days post-exposure with a third-generation HIV rapid test, it's highly unlikely that the same test would turn positive at 90 days unless there was additional exposure to the virus during that time.
If you have concerns about your HIV status or the accuracy of your test results, it's always best to consult with a healthcare professional who can provide guidance and possibly recommend further testing or follow-up. Additionally, newer generations of HIV tests, such as fourth-generation tests, offer improved sensitivity and shorter window periods, which may provide additional reassurance.