Just go to the SSA and find out. I checked the SSA website and it doesnt specify whether you need an updated EAD or not. It simply states that you need your EAD to prove your status and the marriage certificate to prove the name change.
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Self filed AOS │Apps Received By USCIS - 3/18/19
│Biometrics Done - 4/11/19
Interview Scheduled - 4/24/19│Interview Date - 5/31/19│AOS Approval - 5/31/19
Permanent Resident Card Received - 6/8/19