"b" means flat. In order to "flat" or "lower" a note, move it a half step lower.
since "E" is the third note in the C major scale, a b3 is an Eb.
G# is the third in E major. A "b3" in the key of E is a G.
Does that kind of make sense?
All chord building and spelling should come from the major scale--don't even worry about the multiple minor scales when doing this. All chord formulas are expressed with he major scale in mind--even for minor chords.
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