list every output.
the X pattern could be 2 pins, if they are always lighting in pairs.
the lights under the cutouts near the handle. are they multi color or just one color. do they change as the proton storage chambers fill ?
the yellowish one furthest from the handle does appear to get brighter as the chambers fill.
but that looks like 4 total pins out plus the noise of the unit
the photo of the back of the original unit appears to have a switch and three pots.
start with whatever arduino you are most comfortable programming with.
look at blink without delay
add in the sketch to
// set the LED with the ledState of the variable:
digitalWrite(ledPin1, ledState);
digitalWrite(ledPin2, -ledState);
this should have one of the X sides light and the other to be off, and they will forever be opposite
you have to declare ledPin1 and ledPin2 in the sketch