If you are not too behind the cutoffs and very confident that you will make it into IIIT Hyderabad next year, then take a full drop and prepare very well forgetting the past. If you are like I might be able to do and only planning things without being able to execute properly, then take partial drop and take a chance. It will be difficult for sure managing both the things.
And yes, do not forget to register for CTSE, https://learn.careers360.com/careers360-talent-search-exam?icn=ctse_scholarship_lp&ici=navigation-header_ctse