You don’t have to correct everyone who’s wrong about you. Some misunderstandings are cheaper to leave standing.

Correcting someone takes time, attention and a little dignity, and it only works if the other person wanted accuracy in the first place. With most people the wrong version costs you nothing, because they were never in a position to affect your life. Spending real energy there is a bad trade. The exception is the small number whose picture of you actually matters.

Before you correct anybody, ask what changes for you if they keep believing it. If the honest answer is nothing, let it stand. Save the effort for the few with consequences, and go to them directly rather than through the room.