It can be both depending upon which kind of college you want to get into. Usually, the counselling of both government and private medical colleges happens at the same time together, so if you enter the NEET counselling, you'll have the option to choose college according to your wish.

You can also use our college predictor to see your chances in all the colleges:
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope I have answered your question. All the best!