Update about my SSN: I received my EAD and after waiting way more than 45 days the SSN never arrived on the mail 🤪 so I just went to my local Social Security Office, showed them my EAD and passport and they issued a SSN for me. They said I’ll receive it within 2 weeks.
So, if you received the EAD and after 45 days there’s no sign of SSN card just go to your closest Social Security Office (call first cause some of them just work with appointments).