hii ,

you can take CS branch for btech and then go for masters in AI

as all colleges does not has AI specialisation and offcourse AI is not a branch in engineering some colleges just offer a CS branch with speasialisation with AI

with your rank you can opt for DAYANAND SAGAR COLLEGE for computer science branch or you can also go for CS branch in reva college or for more colleges .

the cutoff above are of last year and may vary slightly ,

for more college details use kcet college predictor - https://dqxeclau.top/kcet-college-predictor?ici=cp-listing_root&icn=KCET-College-Predictor