If the date of birth is wrong on your booking, it does not matter—as long as it has not affected the type of ticket.
For example:
It is not a problem if an adult ticket was booked and the person is still an adult.
It is a problem if a child ticket was booked by mistake instead of an adult ticket.
In your case, the ticket type is correct, so the wrong birthdate does not cause any issues.
Important:
The date of birth is not shown on the flight ticket.
You do not need to correct it if the name is correct and the ticket type is right.
No action needed. You can travel as planned.