Hi Aspirant!
There is no other possible way to change the registered email Id excepting writing a mail to the TNEA authorities. If this does not occur, I would suggest you to manage/complete the TNEA counselling with the registered email ID only to avoid any chaos or trouble. Once you will be allotted a college and you will be reporting same, then you will get a chance to change your email id there, you can correct it there.
Thankyou!
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