In the Mishna (Tamid 5, 2), it says that only a Kohen who had not done the K'toret yet could do it.
מסכת תמיד פרק ה - משנה ב
אָמַר לָהֶם, חֲדָשִׁים לַקְּטֹרֶת בֹּאוּ וְהָפִיסוּ. הֵפִיסוּ,
But what would they do if there was nobody who hadn't done it before? i.e, if in this mishmar, there was a small family group, which had just been hit with a virus that attacks those below the age of 35. So now all of the young Kohanim are incapacitated, and only the ones who had done it before were left. What would they do?