They are only human
Surely you do not wish to imply that any Polish bureaucrat is in any way less than perfect?! They themselves will surely not share that view.
Clearly the problem here is that Paritosh has been foolish enough to be born in the wrong place; it is for him to go back and correct that mistake.
maybe able to issue another card immediately.
No chance. They might (depending on where they are in their coffee & cigarette cycle) be able to immediately issue another request for a card, but they certainly cannot issue another card immediately (they simply do not have the equipment to make one).
I asked the PROCESS
The process is you go there and tell them that they have made a mistake. However, before you do that, it is a very good idea to check the photocopy that you have of the forms which you submitted to them (and got them to stamp as a true copy of the submitted forms), otherwise you may find that they claim the mistake was yours.
The question is whether the mistake is big enough that you need to get it fixed. Is it an obvious error (i.e. 'London' spelt 'Lnodon') which has no bearing and is manifest? Is it a spelling which you can claim "The name is spelt that way sometimes"? Or have they (as they did with me) managed to write that you were born in a completely different continent?