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I understand your concern.
It is still not clear about where, which site, which needle, and how you got a needle prick?
It is already more than three days old. So there is no benefit of PEP (post-exposure prophylaxis).
Not all needles are HIV infected. But if the needle is likely to be infected, then I suggest you go for-
1. HIV antibodies test.
2. HIV 1 and 2 RNA PCR test after 14 days of exposure.
3. Followed by HIV antibodies test, HBsAg (hepatitis B surface antigen), hepatitis C virus (HCV) after three months of exposure.
If the needle is not infected, there is no need to worry about any tests.