Agoda — Booking not being cancelled even when booking is 2 months in advance

Address:	Level 2, Tower C, Building No8, Gurgaon Haryana 122002
Website:	www.agoda.com

Hello,
I made a hotel booking on Agoda on August 15. On 23rd Of October, with over 2 months of time left for the actual date, I tried to cancel the booking.
I called up the hotel and they said as the booking was made on the website, I need to cancel there. On the website, I am trying to cancel and the penalty is greater than the booking price. There is 2 months to go and the hotel can get the rooms booked in time.
My complain is how can a website make a room cancellation non-refundable when there is ample time left.
This website does not have a customer care number where I can reach. Plans change and people should be able to alter it especially when there is over 2 months left.
Name of the hotel: Hotel Bachchan Palace
No of Rooms: 3
Total Charge: INR 20, 168.96
Booking Date: 28th Oct 2023 to 30th Dec 2023
Booking ID : [protected]
Reference ID : 6488006

Please help.

Regards,
Divya