The XGecu T48 supports the AT89 series, including the AT89S8253, for programming. However, it cannot bypass or remove the lock bits without performing a full erase.
Check for Excessive Load on 25V Line. If the 25V output is heavily loaded by a shorted component like a bad capacitor or IC, it can drag the voltage down.
You can use a Schottky diode or a standard rectifier diode to allow power from the high beam +12V to flow into the low beam circuit when the high beam is on.
Infinite slack typically means that Vivado has not found any timing path for the signal in question, meaning there is no dependency on a clock edge. Here is a video about Vivado's timing reports.
Using an SPST relay will be good. The relay coil would be powered by either the gas or wood furnace when they signal the pump to turn on. The relay contacts would then control the pump safely.
This thread discusses a number of reasons why an SF6 circuit breaker may fail.
https://maker.pro/forums/threads/catastrophic-failure-sf6-circuit-breaker.170776/
Local source seems the fastest option to me always. In case of international suppliers, I prefer branded suppliers. I had some bad experiences with the non-branded ones. Thanks for the write-up.