Obviously you can sit for TS-LAWCET examination as you are going to be passed out in June, you are also eligible for it.

Marks required in your degree course is:

General category candidates need to have secured minimum 45% aggregate marks. SC/ST category candidates need minimum 40% aggregate marks.

To know more about TSLAWCET you can visit the link provided below:

https://law.careers360.com/articles/ts-lawcet-eligibility-criteria

I hope my answer helps. All the very best for your future endeavors!