You need to go to the interview and tell the examiner you need to reschedule it while you get your birth certificate.
Tell them that USCIS made a typographical error on your card.
Your birthdate is March not April.
The burden is on you to provide evidence USCIS made the error.
So you need your passport, your passport and driver license is not sufficient evidence. It is what is called secondary evidence and you have to provide your original birth certificate.
If you do not fix this before the naturalization certificate is issued you can never in life fix it.
There was a recent court case that USCIS law only allows correction and only if you inform them of the error and provide proof of the mistake.
The proof you have to provide NOW is your original or certified copy of your birth certificate.
This is very critical because in the future it can put up a road block to getting your license renewed, collecting social security benefits when you retire, all kinds of major issues.
It needs to be corrected now before you go through the naturalization.
You have to swear under oath on the N-400 at the interview all information is correct and unless you have your birth certificate as proof they can say you did not meet your burden.
Request the interview be rescheduled explaining to the examiner the problem.
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