Thanks for the photo. Now it came back to me from 10 or more years ago when I built my first door lock unit. I had the Zilla case which has a circuit breaker mounted inside of it. So I decided to remove the breaker mounted on the metal because it was rated higher than the breaker in the Zilla. So I just used the brown wire feeding the breaker and put a pin on it and used that extra pin in the connector.
So if you want to keep the breaker, you would wire one of my brown wires to the breaker like they did with the OEM unit.
Since the solenoids only get power for 333 ms. removing the breaker does not really save heat generated, it only reduces a few connections. The fan circuit breaker should be removed if using fused jumper wires or my fan fail since that runs a long time and produces heat.