Good question based on your learning Dave.
Note that Am and is extension Am11 are in the key of G (diatonic chords) so it is only F (Fadd9) that seems not to fit.
The G major scale and its diatonic triads (chords):
In the borrowed chord topic kindly linked by Kim above, Example 5 has a progression in the key of G major too, from where I can use the same partial Circle of Fifths.
Look at the parallel key of G minor to see that the F chord (extended in the song to Fadd9) is borrowed from the parallel minor key.
I hope that helps.