Quote:

Am is the ii of the key of Gminor...



Spoken like a modal jazz guy!

Modal jazzers tend to think of minor as DORIAN minor, hence Am rather than A dim or half-dim seventh! Mac, you'd get a red "incorrect" check mark for that in music theory class (unless it was a jazz school)!

BIAB is great at generating logically flowing functional harmony, but that can (and usually is) on the bland side. We really need to write interesting, spicy harmonic progressions on our own!