Dental

If you want admission to government colleges for BDS and BVSC courses, then you can not get admission on your NEET score.
1- The minimum marks in NEET to get admission in a Bachelor of Dental Surgery BDS are 450+ for the General category.
2- The minimum marks in NEET to get admission in a Bachelor in Veterinary Science BVSC are 350+ for the General category. However, you have not mentioned the state you belong to that's why I provide general data because the cutoff varies from state to state. If you want admission to a private college for the BDS and BVSC course, then you can get direct admission. For direct admission, there is no need for a NEET score.

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.

Yes, you can get admission to BDS colleges. Based on the information you have given, you have a chance of getting admission into government colleges and private colleges that offer dental courses. I'm suggesting some colleges according to your rank. A list of BDS colleges is given below.
1-SRM Kattankulathur Dental College and Hospital University-Main Campus
2-Saveetha Dental College, Chennai
3-Manipal College of Dental Sciences, Bangalore; Manipal Academy of Higher Education
4-Manav Rachna Dental College
5-Padmashree Dr. D. Y. Patil Vidyapeeth, Navi Mumbai
If you want more information regarding the course, college, or anything else, kindly visit the link
https://www.shiksha.com/medicine-and-health-sciences/neet-college-predictor
Note that the results can also be different as they depend on many factors like domicile, gender, category, etc.

It is difficult to accurately predict in the absence of your category-based rank; however, based on the previous year's trends, it has been observed that you have to score more than 400 in NEET UG to get a government quota seat in Karnataka. With a score of 306, you may get into a Bachelor of Dental Surgery college, but you will get a private seat. For instance, you may get admission into dental colleges like the S. J. M. Dental College and Hospital under private quota seats. Alternatively, you can also use the Shiksha platform's NEET College Predictor 2022 (https://www.shiksha.com/medicine-and-health-sciences/neet-college-predictor) to get more specific recommendations of colleges you may get with this rank. To get a list of possible colleges, enter your NEET rank, gender, category, and domicile here.