Hi , I dont know the full history of your car , but you said you fitted a new battery . So presumably the old battery was in poor health so start stop would be blocked due to that . But now you have a healthy battery it is trying to work. T10 would be the bottom right relay . from your photo it is not present . I see it says spare on that photo ( Amercan versions maybe ??) . Just thinking that a previous owner removed the T10 as they didn't like start stop or used it elsewhere. You could try a relay in that T10 position. T20 is the normal starting relay on my versions . if you remove T20 and the engine wont start at all then that would confirm this on yours .
Great info on the dualogic repair , I know where to look if my daughters one plays up- thanks