Hotel Charging for Broken TV

I came back from shopping today and I got in my room and the TV was on and broken. I called to report it and the cleaning staff also reported it during Make-up Room. The hotel wants to charge me ¥40k but discounted to ¥36k

• I never watched TV and I don't recall hitting the TV even accidentally
• I'm asking for proof of invoice of it and they're saying there's none and it was what's quoted by the company that sold them the TV

We're all still pretty calm at this point but I'm just worried.

Hotel: Shinjuku Granbelle Hotel TV: Sharp, 32-inch