You don't have to power the green receiver like that at 4:30 Just don't pick up the inverter at 3:50 but take the connector and both remaining converters to the end, while this inverter holds open door
You can sneak the first connector out of the puzzle and bring it into to the gated room before the exit. Considering the hole in the starting room it seems somewhat intentional. Getting it back into the puzzle at the end is more hidden, but still nothing too much out of the box.
