Looks like OP is missing the connector shown in dr’s pic that combines the 3 violet wires, but ultimately the 3 violet wires go to one lug and the blue wire to the other lug. So based on op’s original pic, I’d say reattach the cut blue wire and add the thin purple wire to the other 2 purples.
Now as to why things are burning up I’m not sure, other than a short somewhere. I remember working on a BSD years ago that had some of the playfield harness wires tangled up in the RH playfield slide latch pin area causing issues. Check around there for pinched wires.
Cincinnati, OH
