Free as a birdThe "free" is sung with a melisma (A C), which gives a sense of the word's meaning. It's not restricted to the single syllable it has when spoken. Additionally, because it's sung with an ascending interval, there's even something of a sense of a bird's flight.
It's the next best thing to be
Free as a bird
When I drafted this post last night, I realized that the "so free"s at the end of the bridges have something of the same effect. Both McCartney and Harrison sing "so" with a melisma (F# G F# E, I think), which gives a sense of degree. McCartney also sings "free" with a melisma (A E F# C# E, I think), which has the same sense of freedom as the melisma'd "free" in the chorus.