"you're not wrong" = "you're right", however phrasing it as "you're not wrong" usually that there's more to it -- either there's some missing nuance, or the speaker agrees grudgingly or doesn't like this truth or wishes it wasn't so, etc.

Got the covid-19 vaccine

Something someone says when they dispute what you're saying but does so in an underhanded way. It's often followed by a "but".

Protip: you can replace many "you're not wrong, but..." statements directly with "I disagree with you because..." and you wont come across badly.