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One approach would be to use plot3d. For example,

var('x,y')
plot3d(lambda x,y: norm(1/(((x+i*y)-3)*((x+y*i)+2))),(x,-4,4),(y,-4,4))

gives

I've not been able to get the coloring that you'd probably like, but this does give the 3d plot rather than the 2d plot you were getting.