As an 11th grader, should I try to complete my 12th syllabus before summer vacations?

Heya, So I'm currently in 11th grade, I regularly get above 60%+ (from 89 in 10th), and I want to improve them, I've decided that I should start consistently studying and all that.

For you to advise me the best, I study in an integrated program from 8am-2pm where all my comp-english-math-chem-phy lectures are conducted, no coaching/tuition/online batches elsewhere

But here's my main question, should I move ahead of my school and try to complete the 11th syllabus in the next 1-2 months and then move ahead of my school to complete the 12th syllabus before the summer vacation ends in may or june?

I got this idea because if I do so, then the rest of the year I won't have to worry about the basic board concepts, and only the focus of mine would be on JEE.

Thanks for reading! Will love if the 12thies advise!