What are the chances of getting top 3 medical colleges in the state of Odisha in 85% seats through state counseling for a pure general category student with a NEET 2020 score of say 570-580?

Hello Pravakar
According to the information provided by you
Your Overall Percentile is: 98.63 - 99.13 and your Predicted Rank is: 16169 - 18319. As per the previous year cutoff uou have high chances to get admission in government medical college through state quota,
Some of the colleges are listed here
1. MKCG Medical College, Berhampur
2. V S S Medical College,Burla
3. PRM Medical College & Hospital, Baripada
4. S L N Medical College & Hospital, Koraput
For more details refer to the article-
https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-odisha
For more probable colleges use college predictor tool-
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
And for rank prediction-

All the best