Turning left puts pressure on the bottom of the tire and that would move the top of the rotor away from the bracket. Something is definitely loose hub bearing or something else. I would road test vehicles for a noise swerving down the road to load and un load the bearing if I thought that might be my noise.
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Can you take a picture of the new caliper installed and Uninstalled? It might help us narrow down the issue. Also take a photo of the rotor where we can see the mounting bracket
I would put a new axle in that side. Looks like they are less than $100 a side. This is based on the noise when turning, a classic sign of a bad wheel bearing. Haven’t done that before? YouTube is your friend.
You're thinking tapered roller bearing....think balls. They don't necessarily move angular to the axis but laterally.If there isn’t any play how would a bad bearing cause the rotor to touch the calliper?
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