Hi Tanmay,

For a general category student with a marks of 340, getting a BAMS government college might not be possible.

Usually the cut off for general category students for BAMS goes around 460+ in government ones. 

You can consider the options of private BAMS colleges where you have more chances of getting seat. State quota also, attend the counseling till the end to know more and to have more chances.

I hope this information helps.

All the best.