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Problem found!
Root cause: contamination by water intrusion (R boot and wiper seal both failed to keep water out of the rack innards).
The rack with the right side endcap removed - note the rust:
After removing the motor housing (hold the housing, lift the whole thing and smack it a few times hitting the end of the rack shaft on a piece of wood on the floor) - again, note the rust:
Beads of water are visible on the winding endcap, and corrosion on the com pads (or whatever they are called, it's a brushless motor):
And I was able to duplicate the "old-school roller skate wheel bearing" noise, because water got into the ball screw and corroded the ball bearings (rack is toast). I attached a video of the noise.
I ordered a new rack from Wesley Chapel Lexus, $2062 shipped. At least I found the issue and determined that it wasn't easily fixable. Hope this helps someone diagnose their noise! Now I have a new paranoia about the right side rack boot and wiper seal......
In the video, you push the rod inwards, when you start to pull it out it makes a "Click Click" (two clicks). What Causes This?!?!? I replaced my front axles (2011 LS460) and now my steering makes the Click noise, depending on how far I turn in certain directions.
Can anyone diagnose what is making the Click noise? It sounds exactly like the click noise from the video attached by OP