Medicine

Yes, with a score of 565, you may get admission into the MBBS course at some very good colleges, including government colleges. It has been observed that for the OBC category, there are some chances to get into a government medical college for MBBS even if the usual cutoff is around 600 marks. For instance, these are some of the medical colleges where you might get admission based on a score around 565 on the NEET-UG:
1. Government Medical College, Akola
2. Guwahati Medical College, Guwahati
3. Rajiv Gandhi Institute of Medical Sciences, Ongole
4. Data Meghe Institute of Medical Sciences, Wardha
5. MGM Medical College, Jamshedpur
This estimate is based on the 2021 cutoffs, and this year's actual admission may be affected by the number of students applying in your category and seats available.

New counseling Rules:
The Medical Counselling Committee of Directorate General of Health Services, Ministry of Health and Family Welfare has developed software for all the participating states/counseling authorities for NEET-UG/PG to upload the names and roll numbers of students who have joined up to second round and further rounds of the state quota or second round of the All India Quota on the common portal. These joined candidates up to the second round of All India Quota or State Quota shall not be eligible to participate in the further rounds for All India Quota or for State Quota from the academic year 22-23 onwards. For more counseling details, you can visit the link (https://ask.shiksha.com/q-qna-7106245). Cut-off for government BDS colleges: Based on the 2021 year cut-off, to attain a Bachelor of Dental Surgery BDS seat in a government dental college, a candidate is required to score a minimum of 450 marks in NEET Under 15 percent AQI, you need to score more than 480 marks in NEET to get a seat in BDS College. I hope this will help you.

First of all, congratulations!
Yes, you can get a seat very easily at the Institute of Post Graduate Medical Education and Research (SSKM) in Kolkata.
85 percent of seats are reserved for state quota students. SSKM College opening rank Under state quota, the expected score is 545 and the expected cut-off is 21,000 for the EWS category. SSKM College closing rank Under state quota, the expected score is 570 and the expected cut-off is 21,500 for the EWS category. The Institute of Post Graduate Medical Education and Research (IPGMER or SSKM) is located in Kolkata, West Bengal, and is affiliated with the West Bengal University of Health Sciences, Kolkata, and approved by the National Medical Commission (NMC). It was established in 1957.

You have not provided state rank, domicile, category, etc. , so it is difficult to predict with accuracy the college. According to your All India Rank, you have very little chance of getting admission into government colleges for the MBBS courses. But you can try for admission to Tomo Riba Institute Health and Medical Sciences College (TRIHMSC), Arunachal Pradesh. Maybe you will get admitted. Fees for Tima Riba Institute Health and Medical Science College are INR 1,95,000 for 66 months. Last year, the cutoff for Tima Riba Institute Health and Medical Science College was 4,32,942. For more information, you can use Shiksha College Predictor 2022 (https://www.shiksha.com/medicine-and-health-sciences/neet-college-predictor). I hope this will help you.