I have one of these SOB's (that really the controller name) on service. that is a an AC magnet coil brake that was generally changed out in the 40's. They are not made anymore. Your service company is correct, a motor shop can wind the coil if he knows the correct amount of turns. Problem is you don't know what the condition of the linkage of the magnet coil is and how much longer it will last. A new DC brake is a more expensive option but you are talking about the most important device on your elevator, the brake. I would also suggest new brake pads because the reason the coil failed is it overheated due to the cooling oil its submerged in has leaked out and soaked into the pads. And you can also replace those flame thrower relays with new ones. As long as it is a like for like part(number of contacts and coil voltage) and you are not making wiring changes the elevator inspectors take it as a safety upgrade even in California.
