BDS

I don't think a school of computer science and engineering can provide BDS course.

Bds cutoff for st. joseph dental college is around AIR 15000.
For details:
https://www.shiksha.com/college/st-joseph-dental-college-eluru-67651/courses/bds-bc

According to previous year cutoffs, cutoff rank is around 3,30,000 for OBC students general quota.
For more details regarding college go to,
https://www.shiksha.com/college/sinhgad-dental-college-and-hospital-sinhagad-road-pune-65011/admission

The expected cutoff is around 200 to 250 marks in neet to take admission

Yes you will get admission in any private colleges.

BDS cut off for Hazaribag college is around rank 1,50,000, it may also increase based on the choices made by students.
Check college prediction by Shiksha to know more details.

Cut off for BDS course at Karnavathi University is around 17000, for general quota.
For more information go to,
https://www.shiksha.com/college/karnavati-school-of-dentistry-karnavati-university-ahmedabad-58791/cutoff

Cutoff for BDS in BBD University for 2022 is 20000 for general quota round 1, reaches upto 40000 in round 2.
For more details go to,
https://www.shiksha.com/university/babu-banarasi-das-university-lucknow-33058/cutoff

Cutoff for BDS course in GDC Ahmedabad is around 21000 in 2021 as it a new college and the infrastructure is good; it is believed that for this year cutoff may decrease.

With 226 marks getting a BDS course is easy than MBBS course.
You have to register yourself in mcc.nic.in during councelling and make a list of colleges you want to attend from as wanted college in first place and least wanted college in the last.
Based on your rank and your preferences of colleges you will be alloted to a seat.