Hello,
As you mentioned with general category and 413 marks, your chances of getting a decent government college anywhere are negligible.
You can go for management quota seats in private colleges but fees would be more than 40 lakhs for it. Contact the college directly for these seats. You will surely get one of these seats.

Follow this link to better predict your college-
https://medicine.careers360.com/neet-college-predictor
Good luck

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