Hello Ritiksha. I hope you are doing well. Before going to answer, I'd like to correct one thing and that is there's no Paper 3 in JEE Main. one has to write Paper 1 for admission to BE/B.Tech and Paper 2 for admission to B.Arch/B.Plan.

You have mentioned you have secured AIR 2939 but didn't mention your caste, So, I assume you belong to General category.

Based on previous years' cutoff details, it is hard for you to contest a seat for pursuing B.Plan at any GFTI institutes.

2020 JEE Main Paper 2 Cutoff for various institutes offering B.Plan were as follows (for General, Female candidates):

1. Maulana Azad National Institute of Technology Bhopal (Cutoff: 2044 for HS and 542 for OS)
2. School of Planning & Architecture, Bhopal (Cutoff: 830 for AI)
3. School of Planning & Architecture, New Delhi (Cutoff: 479 for AI)
4. School of Planning & Architecture: Vijayawada (Cutoff: 868 for AI)

To check cutoff trends of various branches of NITs in JEE Main Paper 2, check out the following article:

https://engineering.careers360.com/articles/jee-main-cutoff-for-b-arch-b-planning

To check the previous years' cutoff for JEE Main Paper 2, check out the link given below:

https://josaa.nic.in/Result/Result/currentorcr.aspx

( If the link doesn't open, select, copy and paste it in the URL bar of your browser and press Enter to open the hyperlinked page.)

To know your college admission chances based on your Home State, Caste, Gender etc. & exam result as well as to get your JEE Main Architecture personalised report delivered on mail, I recommend you to use JEE Main 2021 Architecture & Planning College Predictor:

https://engineering.careers360.com/jee-main-architecture-college-predictor?utm_source=qna&utm_medium=jee_barch_cp

I hope you find this information helpful. I wish you all the best for your future and success.

Thank you.