Hey.
CLAT in an entrance test for admission only into a 5 year Integrated course of law which combines an Undergraduate degree with law, for example- BA LLb, BCOM LLb, BBA LLb etc. CLAT doesn't provide admission to 3 year law courses. Hence going for CLAT for 5 year law courses won't be a  good idea if you've already pursuing graduation.

As you are in your final year of graduation a 3 year LLb degree is more suitable for you. You can apply for admission to a 3 year LLb course while you are in your final year.

Your admission will be based on your score in the entrance tests. There is no common entrance, each college has its own entrance. Few of the entrances for a 3 year law course are-
DU LLb- Delhi University
MH CET- GLC Mumbai, ILS Pune and other law colleges in Maharashtra  PU LLB- Panjab University,Chandigarg
TS LAWCET- Law colleges in Tamil Nadu
BHU LLB- Banaras Hindu University.
BVP LLB- Bharatiya Vidyapeeth University
LSAT- Private Law colleges like O.P. Jindal Global Law school, IIT Kharagpur etc

You can apply for these in your final year and you'd be eligible to take admission only if you score the minimum qualifying percentage in your UG degree which is usually 45-50%.

You can use the link below for any other information.

Https://law.careers360.com/articles/9564-law-entrance-tests/amp

Best of luck

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