Will I get my state refund on it's original date if I amended before my refund comes?

I amended my taxes to add a new W-2. I already got my federal refund and now I'm waiting for my state. I amended my taxes before my state refund was fully processed. Will my state refund arrive when when my amended taxes come, or will it still be on the original date? I always get my state taxes within 3 weeks. It's been a whole month.

 

I filed my taxes on 1/30, amended on 2/15.