Architecture

Cut-off for B.Arch at MNIT is as follows:-
250 for General, 220 for OBC, 160 for SC and 150 for ST. (These are approximate data)
So, it depends upon of which category you are.
Anyway participate in counseling till last round and believe in your luck a bit.
All the best!!

UK is the best. You save one year of your life. All Masters in UK are one year only. Project management will give a real time work exposure and the latest technology in the word.

Yes you can get admission in private colleges in B.Tech, but some of them have different exams like VIT, BITS, SRM, etc. So you would be required to submit the application forms. Keep checking their last dates for further details.

Yoyo can get Sandip Foundation, Sapkal Knowledge Hub, Matoshri College and other best colleges in your city by scoring 150 marks in JEE.

Admission is through counselling based on rank obtained in Tamil Nadu Common Entrance Test (TANCET). Minimum eligibility to apply to this course is that candidate should be a graduate with Mandatory Course : B.Arch. For further details regarding this course please refer to the link provided below:
https://www.shiksha.com/architecture-planning/course/m-plan-school-of-architecture-and-planning-anna-university-guindy-chennai-271834

But there are better colleges than BGS in that budget.
The fees structure for BGS is 22 lakhs.
While colleges like Acharya Institute of Technology is offering it for 14.50 lakhs.

Just make sure that the margin between cutoff and the marks scored by you should be good and the percentage in 12th must be greater than or equal to 75. Just do hard work.
You will definitely get a seat.