I go and get it regardless, draw it like I'm an artist
Even though he is dealing with all this hate and is against the odds, he still makes his money and achieves his goals.
The use of the word draw is in the form of producing, thus he produces/creates regardless of the things that try to stop him.
The usage of the word draw can also be wordplay because the way he makes his money(produces) is by writing rhymes; using a pen/pencil. Thus drawing.
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