F Lydian scale fits across the song...whether that is the mode of the song is certainly debatable.
You have it as A minor, correct? The sixth degree of Am happens frequently in the chord structure in the G chords.
No need to transcribe the song...its Fmaj7, and G (with various notes added for color added throughout the song). Rinse and repeat. Except for an A minor chord once in the middle of the song.