That is still an RVI tach so it must "pass" the current going to (or from) the coil.
The gauge case is the earth connection.
The male spade on the insulated plate is for switched 12V power in (typically a dark green wire).
The two bullets are for coil power. Since you are re-wiring from scratch, the easiest method is to take the wire from the ignition switch which NORMALLY goes to coil (+) and run it to one of the bullet connectors on the tach. You then run a second white wire from the remaining tach bullet terminal to coil (+). If the tach doesn't behave correctly, swap the two white wires on the back of the tach and try again.
Basically, every time the points open and close there is pulsed current flowing though that ball of white wire you see inside the tach. The remaining wires you see there are essentially a transformer which couples the pulse from the coil power to the circuitry inside the tach.