Hi aspirant

You can state engineering colleges either private or government on the basis of your JEE mains score from this year.

You must apply for state counselling.As this is new process there is no previous data of cut off .So you need to wait until counselling then only it will be clear.

You can use college predictor tool to predict you college based on your rank,category and home state:https://engineering.careers360.com/jee-main-college-predictor

Hope this was helpful.