With an 88.6772 percentile in AEEE Phase 1 and being a home state candidate from Tamil Nadu, your chances of securing a seat in Aerospace Engineering at Amrita Vishwa Vidyapeetham, Coimbatore campus , are limited. Historically, the cutoff for Aerospace Engineering has been significantly higher. For instance, in 2021, the closing rank was around 29,324 , corresponding to a percentile of approximately 98.06%. (https://www.sarvgyan.com/articles/aeee-cut-off?utm_source=chatgpt.com)

Given this, it's unlikely that you would fall within the required percentile range for Aerospace Engineering. However, you might consider other engineering branches that have lower cutoffs, such as Mechanical Engineering or Electrical and Electronics Engineering , where the home state cutoff has ranged between 50–65 percentile in previous years