I don't think this is a bingo YeOldPinPlayer - I suspect this is the flipperless game. If this is the bingo, please let me know - we only know of one sample game and it doesn't appear on any production lists for United.
That said, Steve might be able to have the coil made for you with some specs - have you talked with him directly about it?
Important information would be the size and shape of the spool and the voltage (I'm guessing it's a 110/120V coil). Number of windings may also be important, but the gauge might be present on that label. Important to chat with Steve directly, if possible.