power supply grounding in a stereo amplifier (2x mono amp) in 1 chassis

some info:
  • each channel has its own power supply and transformer
  • ground for the power supply is derived from the center-tapped transformer (see screenshot below)
  • only 1 AC input for the 2 power supplies
question: should I connect the 2 power supply ground together? I'm only asking since I want to install a ground loop breaker.

Thanks!

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