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I record while using the Arctis 7 wireless headset. I think it's the USB receiver plugged in the PS5 that's causing this. When i connect the headset with the controller, there is no high pitched sound.
Okay... sounds like feedback so try this: In the settings on the PS5, where you have the option to alter the headset from All Audio or Chat audio, switch it from whatever it's on now to the other and see if the feedback stops.