Amended Return-Dependent Status

When we filed our 16 year old son’s tax return, we did not check the box to indicate he could be claimed as a dependent so our return claiming him was rejected. I was able to file an amended federal return for him indicating he could be claimed as a dependent. However, our state requires amended returns be mailed. If I decide to just file our return without claiming him, do I still need to mail the amended state return? I just don’t want to get into a situation of having to wait for the state to amend his before I can file. Thank you for the help!