Appliances are a bit different.
What if the toaster didn't work that was there when he moved in?
FWIW, I moved from a house I owned to one I'm renting in Jan.
The dishwasher did not work and was not covered in my lease.
This was not a problem because I brought my own appliances to his furnished place.
When I move out of this place, I will take my appliances with me.
I'm happy because I've got a much better and larger fridge, and dishwasher. The owner is happy because he now has a set of spares for his other properties.
No lawyers needed.
Sometimes it's just easier to handle things yourself, yanno.
I wouldn't make a big stink over something like this. Buy a decent used dishwasher, have their maintenance install it, get reimbursed.