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Hello and welcome to just answer and allowing me to assist you. may need to ask a few questions to better help you. if you fell the pedal pulsate then that tells me the brake rotors are warped . How long ago have you had any brake work done?is this clicking nose happening at the same time when the brakes pulsate?
are they OME or aftermarket rotors. also was the backing of the axle flang that the rotors sit on cleaned properly and that flang checked for run out?
Ok lift front of vehicle off the ground just enogh that you can wiggle the wheels to check for any play in the suspension.if none then either those rotors are warped or you have runnout in the hub mount.I have seen aftermarket rotors warped by just the way they store them.
Another way you can tell if it's especially front rotors , if you just lightly touch the brake pedal at highway speeds and the steering wheel will oscillate rapidly.