Hello Priya !!

MCC/DGHS does not conduct counselling for private colleges.To get a seat in private colleges have to apply through your state quota.

If you did not get a seat in first or second round of counselling then you can apply for mop up round where you can select private colleges in your preference list. If already got a college in these two rounds then you will not be eligible for mop up round.
For more information please visit-
https://www.google.com/amp/s/medicine.careers360.com/articles/admission-in-private-medical-colleges-through-neet/amp

All the best .

Hope this helps.