Hello there!
You can apply for Government Medical College, Coimbatore through All India Quota Counselling in Round 2. The rural service bonds are not strictly implemented on the students who secure a seat, through All India Quota Counselling. So, you can apply for the college of your choice without thinking much about the rural bond.
For more information on expected colleges you can get on the basis of your NEET score, use this college predictor.
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
I hope this answer resolves your query.
Good Luck!
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