I was given an offer letter in May 2020 with a 2-month notice period. Now, I have an opportunity where I need to join after 1.5 months, so I am willing to pay for the remaining 15 days. However, the management is claiming they sent out an email on March 1, 2021, which extended my notice period from 2 to 3 months. Is this even legal? They have not provided any formal notification or updated document. What steps should I take next?