I suggest car 682 is one of the Miller Street allocation which was withdrawn from service after the cessation of tram services in the city in 1953. That was the end for the Erdington, Short Heath, Pype Hayes routes which were replaced by buses on routes 64, 65 and 66 respectively.
On 4th. July 1953, in the early evening, twenty four tramcars were relocated from Miller Street to Kyotts Lake Road, the destination of the car a DEPOT ONLY I suggest confirms this. To reach The Lake, as it was known, they had to travel through the city centre. From High Street, the trams descended Carrs Lane by gravity as the overhead wiring had been removed on a previous occasion. Most made it into Moor Street but one or two, it is reported need a gentle push by a BCT towing vehicle (a former bus adapted for towing purposes). Carrs Lane was the inbound track for 84 Stechford trams (abandoned October 1948) and the 44 Acocks Green and 17 and 19 Hall Green services (both abandoned January 1937) when they were operational. This most likely explains why car 682, in the picture, is on the left hand track with its trolley pole on the outer line. It will soon move on to the other track. The gentleman operating the track switch is in working attire rather than uniformed. In general circumstances a uniformed person would have carried out the track switching duties.
Incidentally, to the left of the tram, there is one of those metal power supply boxes (discussed previously on this Forum), but this one in Moor Street is not ornate. A control box is mounted on the overhead support pole and the electrical feeders are quite plain to see.
PS: Routes I overlooked in what I mentioned above were the Coventry Road services. They were replaced in January 1934 by trolleybuses. The services that started in Station Street joined those from Albert Street at Rea Street, Digbeth.