Hey there!

Usually the cut off for BAMS in BHU is as low as 400-450, and it may go down further as well. This has been the trend for the BAMS in the recent years, but nothing can be predicted with surety as cut offs change every year. Based on your marks of 513 in NEET and home state quota, you have great chance of getting admission, so you don't need to worry much on that.

If you want to explore Medical/Dental colleges, you can get into based on your neet score, you can use the neet college predictor tool, here's the link for that- https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer