Any areas show signs of rubbing, like shiny areas on the rotor? Seems strange.

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1998 C230 330,000 miles (currently dead of second failed EIS, yours will fail too, turning you into the dealer's personal human cash machine)
1988 F150 144,000 miles (leaks all the colors of the rainbow)
Previous stars: 1981 Brava 210,000 miles, 1978 128 150,000 miles, 1977 B200 Van 175,000 miles, 1972 Vega (great, if rusty, car), 1972 Celica, 1986.5 Supra

I've had this happen before, and it's not that. Good suggestion though.

Wheel weights are on the outside rim of the wheel.

Absolutely none, which is what I found to be odd.

I drove it a bit and it seems to have gone away some? Full lock coming out of my driveway still makes noise, but not as much. I'm wondering if maybe removing the caliper did something odd but driving it 20 or so miles fixed it? No idea, I'll replace the rotor with the new one (again) and see if it goes away.

Could be the brake caliper mounting bolts are too long rubbing on disc, if you put new ones on