Hello student yes you'll get the SC category reservation at its accepted across the country but you need to submit your application as a SC category aspirant and NLSIU has nothing to do with your Bihar domicile just fill your application as a SC Category and the constorium of clat will automatically treat you as a sc category student at the time of online counselling on the basis of rank you secured you'll get admission calls.

Feel free to comment if you have any doubt

Good luck