Just to be safe take all 3. I was only gonna take my passport and EAD when getting my social but the lady requested my birth certificate and the EAD. She didn't even looked at my passport.
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App sent: 9/25 Received: 9/28 California Service Center
I821D biometrics Notice: 10/5 for 10/25
Biometrics: 10/25
I821D : 5/6/13
I765 : 5/4/13