Saarang Narayan
Inspired
This kinda confirms that this is 60cycle hum aka ground noise. Somewhere in your signal chain, the ground is not connected properly. I’d start with the wall wart and work my way to the guitar. Wall warts not being grounded is potentially more dangerous than guitars not being grounded so definitely try and check with a outlet tester (which it seems is on its way to you?) and meanwhile see if rooms in the other end of your house produce the same kind of noise or not.mostly in single coils.
Guitars not being grounded are a cheap and easy fix. There are plenty of videos on YouTube that show you how to fix this. Although if this happens with all guitars (single coil and humbucker) then probability dictates it is most likely a fault with something else.
Btw, are all the electronic components in your rig being powered from the same outlet? If not, then that is your problem.