Hey,

Last year the cut off rank for general category in MS General Surgery under All India Quota through All India Counseling was around 10000. So based on this it is quite difficult for you to get a government quota seat. But you can surely get a management quota seat in MS General Surgery. To get a complete list of colleges in which you can get a seat in your desired branch, you can use NEET PG Predictor

https://medicine.careers360.com/neet-pg-college-predictor

hope you are doing well. With regards to your question I want to mention that with a rank of 13673 in NEET PG, and matching it against the previous years rank vs marks cutoff trends in different government medical Colleges in Punjab you have a pretty good chance of securing a seat  in two Government Medical colleges in Punjab namely Government Medical college, Amritsar and Guru Gobind Singh Medical college and Hospital, Faridkot. Now after securing a seat your branch of specialisation can vary. You have good chances of securing a seat in MS General surgery but keeping in mind the fierce competition nowadays its better to keep an alternative always. I am sharing you the article which may help you to a great extent. Hope it helps. Thank you