Hey,

There is nothing like a free seat but the fee structures of government Colleges are very minimal. With this marks , you may get admission in the following government medical Colleges under state quota.

• ESIC Medical College, Gulbarga- last year cut off was 340 for ST category.
• Gulbarga Institute of Medical Sciences, Kalaburagi- cut off was 335
• Chamarajanagar Institute of Medical Sciences, Chamarajanagar- cut off was 337.

You can also check the following link for further information.

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-karnataka/amp

All the best