Heyy Ayush
With 477 marks and belonging to general category you can get govt medical college goa through state quota only. As oer previous year the cut off of GMC goa for general under state quota was 355 while for AIQ was 552.
We are predicting this on the basis of previous year cut off trends. We. Are not sure about this year cut off as it changes every year depending on no.of candidates, no.of seats and difficulty of exam. So hope for better result this time.
Here is a tool which can predict college on the basis of neet score. I hope this might help you

https://medicine.careers360.com/neet-college-predictor?icn=NEET_clgpd&ici=NEET_article_view_sticky