But when I apply the brakes the noise should stop right? It happens all the time and the sound is consistent no matter what I do to the vehicle
Yes the rattling should stop then, at least when you brake harder.
But the clips themselves might also be making noises, although maybe not so commonly clicking but more likely squeaking and grinding noises, but it's not impossible.
When I replaced my brake pads I got a kit that had flawed anti rattle clips. I had them installed right and everything looked and worked fine, and on brand new or slightly smaller diameter rotors it might have worked. But on my car the new clips I put in with the brake pads would scrape on the rusty outside of the old rotors just very mildly and that would cause them to make an awful high pitch noise when driving.
From your sparse descriptions basically anything could cause such a clicking noise.
To narrow it down, listen to the noise and try to determine if the clicking sounds appears randomly or if it has a rhythm, possibly a rhythm changing with speed of the car etc.
An in the end you'll probably just have to jack the car up to get that wheel off the ground and rotate it by hand anyways. Check if it turns smoothly or has resistance, if the clicking noise happens at a specific position of the tire etc.
Also keep in mind that acoustics on cars can be quite fooling. It might originate from somewhere else even though it sounds like it's coming from the passenger side, don't stubbornly rely on the impression it might come from the passenger side if you cant find anything wrong there.
Years ago on a friends car gravel got caught inside of his cheap steel rim bouncing around between the rim and the plastic wheel cap would cause a weird annoying clicking noise. It annoyed him forever until he finally figure out what it was.