Appointment Letter not shared during time of joining and notice period changed unilaterally through policy handbook

sai-charan1
Hi,

Joined a company on May 2019. But I never received an appointment letter from them. They unilaterally changed the notice period from 3 months to 2 months last year. Then from 2 back to 3 months a few weeks ago. I resigned 5 days after the change in notice period from 2 to 3 months. Should I serve the 3 months notice even though the notice period change was unilateral through a policy handbook, and the fact that an appointment letter was never even shared with me, let alone signed by me?

When asked for the initially signed appointment letter, they shared with me a recently created, back dated appointment letter without my signature obviously.
I'm trying to negotiate with the team to reduce the notice period in lieu of my leaves but they're not agreeing with that option. What are my options here?
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