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Yes, you should be vaccinated regardless of whether you already had COVID-19. That’s because experts do not yet know how long you are protected from getting sick again after recovering from COVID-19. Even if you have already recovered from COVID-19, it is possible—although rare—that you could be infected with the virus that causes COVID-19 again

Does this sense to you that if I have already had Wuhan it would be rare for me to get it again so get the vaccine anyway even though we don't know how long the vaccine will be good for nor do we know how long immunity lasts?

Not going to paywall for second link to holocaust denying NY Times.

OK, try this, from an NYT link:

https://www.medrxiv.org/content/10.1101/2021.01.13.21249642v1

Interpretation:
A prior history of SARS-CoV-2 infection was associated with an 83% lower risk of infection, with median protective effect observed five months following primary infection. This is the minimum likely effect as seroconversions were not included.

So, your odds of reinfection would be reduced by getting a vaccination, but probably not by much. The vaccine may provide a larger set of antigens for your body to respond to than did the virus that infected you.

In your situation I would probably get just one vaccination, and expect to have a somewhat strong and unpleasant response. That's just me. I think it would be reasonable in your situation to get no vaccinations, or one, or two.