The ways out is aptly suggested by Mr. Sudhir Kumar.
You are fully aware of pros and cons in your matter.
The authority does have the power and may exercise its power to take a lenient view and suggest a way out.
The authority may not exercise its power as it may set a wrong precedence.
The HR is also wary of termination as it may lead to litigation.
The AGM-HR in all probabilities has called you to conduct his inquiry with you in person get some kind of admission and pronounce the verdict of Hr to his superiors.
The record of sickness may fetch you some relief depending upon the view taken by authority.
Do your homework and decide what is to be said and what is to be written by you.
If possible and suitable to you and acceptable to the authority explore the option to resign and obtain proper reliving.
However before you act and visit it shall be appropriate to take advice of Employees Union Leaders and your lawyer in person.