Wrong Date of Birth in I-797 C Notice [ Marriage to a Citizen apply ]

[Saam2010]

Hello ,

9th September – 2017: I filed Concurrently I-130, I-485 and I -765.
14th September - 2017: I got I-797 C for I-130, I-485 and I -765.
Then I noticed in I-765, the date of birth is not correct. But in, I-485 the date of birth was perfect.
15th September -2017: I call to the USCIS customer center to re-correct the date of birth. (It was little bit confusing conversation though they said the corrected it over the phone).
16th September -2017: I got my 797-c mentioning my biometric appointment date.
6th October -2017: I did my biometric.
My question is that do I need to do anything to re-correct the EAD that will come? Will I get the correct DOB on my EAD? Will I get any kind of 797-c mentioning that your DOB is corrected? 
Thanks in advance.