The room is €200; €300 was back-of-the-napkin for general meals and it could be low, but when you buy in bulk it can be quite inexpensive and Italy is definitely cheap.
To me, the cost of buying cooking ingredients isn’t a concern in the slightest - but I don’t enjoy cooking. I’d hire a full-time live-in chef if I could afford it. But I can’t, so I mostly live-off Soylent.