Hey there !
In your case, since you have already taken admission in BDS through Karnataka in 2nd Round, then you need to mention if you went through AIQ Counselling or State Counselling.
If you got through AIQ Counselling and chose to upgrade and then you are getting a seat in Mop-up, then there won't be any issues.
But if you got it through State Counselling, then in order to join a new college alloted through AIQ Mop-up, then you would have to pay the Bond Fees in order to release your documents. Otherwise, they won't give back the documents needed during counseling.

Hope this helps.

Good Luck !

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