As per this article, the Master Password Recovery Code is a unique and personal code that is the only means of regaining access to KEY, should you forget your Master Password.
You would require the recovery code in order to gain access to Key again. In your case, you have to uninstall and install Key and put in your passwords freshly again.
As Jouni has mentioned here, in Windows, you have to also remove the 'user data' folder for uninstalling Key. Key might still be having the link to this folder and hence asking you to login after the reinstall.
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