Found a 250 volt electrolytic capacitor to replace the left two caps -- so now it just uses
two caps, two diodes, one bleeder resistor, and one resistor in series with the zener diode.
This also works well -- and exactly the same with the 12 volts dc pulse across the zenar
diode supplying the short dc pulse when the 120 V ac is turned on. The cost is still low.
I still worry how many hours these 2 electrolytics will last at 85 to 90 degrees C?
It has 6 parts -- however, the two diodes and two resistors should last for years.