AKTU - Dr. A.P.J. Abdul Kalam Technical University (UPTU) Counselling

Candiates seeking admission to AKTU and have appeared for the CUET-UG entrance test are eligible to register themselves for the Uttar Pradesh Technical Admission Counselling (UPTAC) counselling process conducted by AKTU. Also, candidates who have passed the qualifying examination from any institution located in UP or whose parents are domicile of UP subject to the eligibility conditions given in the AKTU brochure are eligible for the counselling round. 

It is upto the students choice because the admission in DTC will be based on Jee main merit list.

And admission in  APJ AKTU counseling is also good it have good institutes under it.

So based on the rank you got in Jee main you should make choice and direct admission should be management quota is less.

You should go on rank and see the better result in certain counsellings don't got for direct admissions every time.

see for good colleges in counselling if you don't get desired college then its upto you to take desired college

Your rank is too high but there are chances that you might get the college. For this do the counselling of all rounds until possible and add colleges with both stream with status of Government and Private institutions. You may also add branch with specialisation in Computer Science.