The PAL IC on the breadboard along with a binary counter IC (Motorola MC14060B) to run through all the 512 combinations of logic inputs to find the state that would disable the 'Replace Coil' error.
Bodge wire from VCC to pin 5, this should be pulled high to disable the interlock. The bodged on resistor is from the factory!
The capacitor seems to measure 190uF and is oil filled. Magstim rated the capacitor to a minimum 200,000 full charge cycles. Quite impressive for what it does. I would expect the capacitor was a significant part of the BOM for this device along with the Thyristor. The capacitor i believe is a General Atomics DP Series 39504 which are general purpose pulse capacitors capable of upto 25kA. The 39504 is rated at 185uF at 3000v.
I have also noticed that the mechanical counter only counts when its triggered at over 80% power.