reconnect a jumper between lug 5 & 7.

at that point, the grey wire being on lug 7 is fine and it keeps the general rule that two wires of different colors aren't connected together (except jumpers).

the schematic symbol isn't an accurate representation of how the transformer is constructed on the primary winding side.

image below is factory drawing of the transformer used in bally EM slot machines of the same era ... a similar design but doesn't need the 17V secondary. The jumpering on the primary side will make more sense than the schematic symbol.

e-122-101 (resized).png

however, even with the jumper missing between 5 and 7, you should have some secondary voltages ... but they are probably too low.

if rejumpering doesn't fix it, the usual problem with a transported game having no power is a fuse filament broke at the cap where you can't see it. Continuity testing you have to make sure you only have one circuit path between the probes. It's better to use an ohmeter and look for almost zero ohms. Anything a few ohms+ is likely a circuit path through a coil/lamp/transformer.

if you have 120V on lugs 1 and 7, I'd stick one meter probe on wire 30 (lug 6) and poke both sides of the 6/17/50V fuses with the other probe to verify the fuses are ok.