Who cares if there’s no lift because this apartment is great! After walking the steps (3rd flight) a few times you don’t notice it (and we did this with a one year old and a light buggy).
Superb location - you can walk everywhere, quiet apartment for such a busy location (one room gets some noise from stairwell but not often and didn’t disturb our toddler), super clean (was checked by our crawling baby whose trousers proved the cleanliness of the floor!), great communication from host, and very quickly dealt with minor issues (bulbs out, request for extra towel)
The space works well- bedrooms in different parts, open communal space- pictures are representative.
Great host and location for exploring Rome.