I see spurs at 50 Hz and harmonics, which I assume are from the power line at your location. This might be due to an oscillation in the power supply regulator, leading to nonlinear regulator operation and feedthrough of power line ripple. For example, low dropout regulators can sometimes oscillate when an additional ceramic bypass capacitor is added due to decreased phase margin in the feedback loop. It's also possible that there is too much ripple before the regulator and you are exceeding the dropout voltage, or that the regulator is going in and out of an overcurrent condition. Many odd things may happen if the power supply regular isn't working properly.
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