It is difficult to say for certain with a cut-off score from a previous year, but based on the information available, there is a chance you might get a seat in TANUVAS for BVSc & AH in the MBC category for the 2024 academic year.

Cut-off scores can vary slightly each year depending on the number of applicants, difficulty level of the entrance exam, and the number of available seats.

Your score (189) is close to the previous year's MBC cut-off (193.50) for the academic year 2023-24.

https://www.careers360.com/university/tamil-nadu-veterinary-and-animal-sciences-university-chennai

I hope it helps!