As usual, @VirusesImmunity has already answered the question!

You should still get vaccinated even if you've had COVID!https://t.co/snhmAgirqz

— Noah Smith 🐇 (@Noahpinion) December 23, 2020

Yes, you definitely should. Tests aren’t conclusive. The vaccine is (far more so). And the vaccine also produces a more robust immune response. You might not be immune (in the colloquial sense) from having had Covid-19, but the vaccine will give you far more certainty about that.