I’d say washing machine is 595mm and between hinges is ~585mm harder to measure precisely.
Not sure there is enough depth behind the hinges to take them off and put the machine in and can’t see how you’d fit the hinges with the machine there given lack of depth.
I made some drawers inside some wardrobes not so long ago and forgot to account for the door hinges. But I'm not a professional and am supposed to make these kind of stupid mistakes.
I'd just double check with him that you're worried it won't fit and can he double check before it goes any further.
Hard to tell from your photos. What are the two dimensions exactly?