Hello Aspirant

Since the nationality in NEET counseling form once filled can't be changed so I think that's the reason you want to go for private colleges.

In that case, you don't have to worry about the details you filled in NEET counseling application form affecting your other private colleges counseling in any way, but don't repeat the same mistake again.

If you need any other information regarding NEET PG, go through the link given below:

https://medicine.careers360.com/articles/neet-pg-counselling

Hope this helps