how do I find/estimate the transformer requirement for my relay attenuator?

as above.

to make sure everything works, I tried a spare 100VA transformer and it's working as expected. Obviously, that' overkill for this use so I'm wondering what's the minimum I can use.

quick glance looking at the main parts

  1. a bridge rectifier of unknown make/model (markings D4A60)
  2. 1x 7812 regulator (tracing the PCB, the output is sort connected to the other end of the relay coil (all 8 relays) via a diode)
  3. 1x 7806 regulator (The ADC0804 below has a max voltage of 6.5V. it's a good guess that this chip is powering that)
  4. 8x Omron G6S-2-12v (looking at the datasheet, the rated current on Page 2 for this model is around 11.7mA)
  5. 1x ULN2803APG (8ch Darlington Sink Driver - looking at the PCB trace, its output is connected to one side of the relay coil)
  6. 1x ADC0804 (pins 11 to 18 are connected to the input of the ULN2803APG)

datasheet list:
 
I’d go to half an amp AC. 1.4 X for capacitor input filter, and another 1.2-1.6 X for power factor, on a 200-250mA DC load. If all the relays are on, the continuous load can be “high”, unlike the amp where it’s more intermittent. A lot of times, something convenient like a 1-amp might be the cheapest anyway.
 
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