HP India — HP Customer Care Not taking any actions even waited for one month

I have been contacting HP Customer Care for the last one month to solve my issues with my laptop screen and changing battery(I already paid the money 3 weeks before but no action has been taken yet).

I have an HP Extended warranty and will expire next month. I am using this laptop very carefully and gradually its screen from the top layer begins to become dark shade. Now it is difficult to see the windows menu bar. Since it is not a physical damage I would like to replace the screen under warranty. HP agreed to send an onsite technician visit and not done yet.I already had an HP technician remote screen share session and shared many pictures and videos of my laptop as per their request.

HP Support Case Id: [protected], [protected]
Product Name HP Pavilion x360 - 14-cd0087tu

Till now no actions from HP Support