Not releiving from job

Hi, I had joined a private medical college in kerala in October 2019 . It was a permanent job. Basically I am from karnataka. It had a notice period of 3 months after resignation. But suddenly in July 2020, the college announced that they are offering to sell their medical college to kerala govt (news came in times of india also). Now decision in kerala govt to decide whether to buy or not. So because of uncertainty many (out of kerala state) people resigned bcos if it becomes kerala govt college, it's difficult to keep our job for longer duration . All of them were relieved early also (within days). I also feared for my job, as if it becomes govt college ,there was no guarantee that we would retain job for longer duration as promised before. so I resigned on 29/12/2020, and requested for early relieve. But on 06/01/2021 , kerala govt announced that they won't buy the college but instead build a new college of their own nearby(news came in times of india also). Now this pvt medical college is not releiving me and asking me to serve 3 months notice period. It seems they are not ready to accept my offer of buying out notice period also. So can I take any action?? I am ready to pay for consultation. thank you