You got cut off 189 marks in TNUVAS or veterinary counselling and want free government seat, you ask about possibility under state quota and fees.

1, Veterinary admission seat require NEET UG score or state entrance like EAMCET veterinary stream, not just board marks

2, If you have 189 cut off from agricultural or veterinary exam then you need to check TNUVAS counselling list and seat matrix

3, Government veterinary colleges have fee concession or full free seat only for reserved category or EWS students

4, General category students may not get free seat unless rank very high and seat vacant

5, You can apply in counselling when it starts fill choice for Tanuvas and veterinary under free or concession fee group

6, After seat allotment if you get government college then you get low fee around ten thousand per year otherwise private seat fee much higher

More detail about veterinary admission and cutoff here

https://engineering.careers360.com/articles/veterinary-admission-process

https://www.careers360.com/colleges/list-of-veterinary-colleges-in-tamil-nadu