TL;DR I'm a bit confused on which key signature to use for a score in F dorian: 4 flats or 3 flats?
I wrote this arrangement of Mad World by Gary Jules back in 2012 using 3 flats as key signature. There were no accidentals in the score.
Then some guys in the comments noticed that the first chords is Fm, so I should have used 4 flats instead. The reasoning seems correct to me, so I updated the score using 4 flats (I basically added D flat).
The problem is that I had to write D natural everywhere, because the notes were correct with only 3 flats, so I basically had to "cancel" the D flat I just added.
I'm a bit confused about which key signature to use: given the notes to me it seems obvious that the "correct" key signature to use is Eb - Cm (3 flats). On the other hand, the first chord of this song is Fm, so it should be Fm (4 flats).