Need to get early relieving but company not agreeing to it

Situation: I have received an offer from a Global Technology company and their global policy is to give 30 days’ time to all future employees to join their organization. My current organization which is an Indian Private Sector bank has a notice period of 90 days and it allows notice period waiver by paying the basic salary of notice period shortfall, subject to discretion of the competent authority at the bank. I have submitted my resignation to the bank and requested them to release me in 30 days given the constraints of the new job offer that I have received and considering that it will be a livelihood / financial insecurity risk for me if I lose the opportunity. However, the business/HR is not agreeing to release me earlier than 90 days, even though I am willing to pay the notice period shortfall. I wanted to understand what options do I have in a situation like this.