Welp, replaced the whole bridge and the problem is still there. I'm at the end of my wits on this.
Welp, what we now know is that it is NOT the actual bridge.
Your could have your pickup(s) set too high.
Your action could be too low.
Your bridge posts could be loose (yes it happens, though it is fairly rare).
If you have a bolt on neck, could be a loose screw.
Could be your trem springs. Would be mildly surprised if it were the actual claw itself.
I helped a friend with a buzzing Floyd that ended up being the screw collar on the bar. He left it really loose and it added a buzz to the instrument. Who’d have thought…
If none of that pans out, you would look at each component in the chain. I know that you said it happens when fretting the last fret. I had a guitat with a g string “sizzle” due to a loose machine head.
You could have loose/high fret(s).
You could have a warp or twist on the neck.
Could be something at the nut.
Could be your machine heads.
Could even be something with your neck angle.
A lot of the things I mention are long shots. Some are fairly common (e.g. high or loose frets, pickup height, action height). It could simply be that your particular guitar has a wonky resonant frequency that clashes with your ear.
It can be a frustrating process to run down issues like this once the easy things are ruled out. It is a process. It takes time and attention to detail on these tougher to diagnose issues.
You took one single (massive) jump, it did not work, now you are “at your wits end“. You might be better to send the guitar to a tech who really knows Floyds for diagnosis.