A three-platoon department splits its firefighters into three crews, usually called A, B, and C shift (some places use 1, 2, 3 or colors). At any moment one platoon is on duty, and the other two are off. The three take turns so the station is staffed 24 hours a day, 365 days a year, without anyone living at work.
That is the whole idea behind A/B/C. It is not a ranking or a station assignment. It is which of the three rotating crews you belong to, and it determines which days you work.