If it only happens when the brake is depressed, first check to see if there is damage to the brake rotor (scratches, grooves, rust).
Next, I would recommend checking the brakes to make sure something hasn't caused them to lock up and wearing the brake pads quickly. There is aluminum hardware on each end of the brake pads. See if one has come out and is hitting. Also, inspect the dust shield behind the brake rotor to make sure it isn't rusted or bent and moving when you turn right and hitting the brake rotor.
I attached two pics below of what I'm referring to so you can identify them.
Also, if it is loud enough for you to record and upload for me to hear, It may help me.
As far as the ideas people gave you, I never heard of a collapsed brake rotor. As far as the rotor, certainly, something could be hitting it such as the items I attached below.
A wheel bearing usually will create a humming sound at all times which can get louder when turning in one direction and quieter when turning the opposite way. However, applying the brakes usually isn't a cause for it to make noise.
Let me know what you find or if you have questions.
See pic below.
Images (Click to enlarge)
Friday, September 2nd, 2022 AT 9:57 PM