I had something similar happen to me in a rented house, still there as it happens. Oven door fell apart, landlords agents tried to accuse me of negligence and subsequently charge me the full cost of a new oven. I contested the whole accusation and the landlord came to an agreement to only charge me half.
Not satisfied, as they were looking to replace the oven with a much better oven then previously installed, on the grounds that the oven broken wasn’t produced anymore, I again contested, and threatened to move into hotel accommodations on grounds of no suitable way to prepare hot food in the establishment being rented, with the landlords agents being sent my hotel bill till time when the oven had been replaced..
Oven was replaced, FOC within that same week, renewal of rental is now fast approaching, and I’m reckoning eviction notice heading me way, but darned if I was to be saddled with a bill for a new oven that broke due to age..
They do try it on, if however you’ve admitted to being at fault, they will put the onus on you to foot the replacement oven bill, and all installation charges.