I recall the door cotrols, both when visiting Vienna in 1960 and speding time with these old friends from New York City, and in operating 629 before full restoration at Branford, winter 1967-1968.
On Third Avenue one-man cars, there was no close-door button. One closed both front and rear doors by depressing the foot controller. Tapping it lightly would close the doors without releasing the brakes or reducing brake pressure. One could re-open the front door by pressing the unlabeled. but unique, door-open button. When making a regular stop, an operator could make a smooth stop, without lifting the foot off the contoller all the way, and then open the front door with the button; but most preferred to make the smooth stop and then let the pedal rise to maximium height, opening the front door.
The rear door was opened by the tredle in the floor, interlocked; only working with the car brakes applied and the car stationary.
This applied to all one-man Third Avenue cars.