Hello,
Usually what happens is that if you are allotted a seat at first and you still appear for the later rounds of counselling then the previous seat is cancelled and all the documents and fees are transferred to the new college. But as you mentioned that you already took and admission I assume that then this seat will not be cancelled automatically but you would have to cancel. As per your query yes you can take admission in the new allotted seat after cancelling the previous one.
Hope it helps.
Good luck.
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