I had a SSN # and card but it was 'Not valid for employment'. I did not qualify for DACA.
When I got my EAD based on AOS. I went to SS office and applied for a new card. I got it in the mail and it had 'VALID FOR WORK ONLY WITH DHS AUTHORIZATION'. I have a Green Card now but the birth year is incorrect on it. So, when I get my GC then I will go to SS office again and get an unrestricted SS Card.