No, Since you are not from Tripura. So you will consider as other state student so you will not get any seat in NIT AGARTALA.
You can check the last year cut-off here: https://josaa.nic.in/Result/result/OpeningClosingRank.aspx
All the colleges listed in JOSAA is good for engineering except some GFTIs like Gurukul kangri university.
You can try in National Institute of Foundary and Forge Technology, Ranchi(NIFTF Ranchi).
Last year the cut-off was 10443.
Don't take admission in private colleges except they are under 3 in their respective state.
You can take admission in techno India salt-lake kolkata, IIM, VIT vellore, MIT pune, LNCT pune.
You can also drop this year for your future so next year you will get IITs or NITs because IITs are much better than NITs and NITs are good than GFTIs and IIITs, except Birla Institute of Technology which is better than some NITs . And obvious i am not considering IIIT hyderabad.
All the best !!
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