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OCI card
6. months is too long. Use the online enquiry form to check the status.
https://passport.gov.in/oci/
Well, me If I was in this situation and if i got no replies to my emails, I will insist by the phone and telling all the things u did.
After, if it doesnt work I would go directly to the embassy at the reception.
Also, you have another alternative it's to send a "recommandé" by the post, with this, they have to sign a paper and cannot ignore your request.