Hello,
As you've stated your son got 476 marks with OBC category which is a quite good score so yes definitely you have good chances of getting an government seat but also it depends on some of the criteria like the cutoff etc. So you could try your luck as you have good chances.
Also you could predict it using our college predictor tool using the link below
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
Hope this helps
Good Luck
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