We can't be certain - it is possible that they may send it out upon processing of the amended return. However, the IRS hasn't yet given any guidance regarding how these sorts of situations will be handled.
You have done the right thing by sending the amendment as soon as possible. My recommendation at this point would be to watch the IRS page for updates and check the "Where's my Payment" tool when it becomes available. It may provide additional information specific to your situation and perhaps some steps you can take to speed up delivery.
The worst case scenario is that you will get it on your 2020 tax return, but there is still some hope that it may arrive sooner. We just don't have a definite answer yet from the IRS regarding how this sort of situation is expected to be handled.
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