Also check the caliper piston if it got stuck towards the end of the displacement. Sounds to me the piston has no problem pressing in the beginning, but not cooperating at the end.

Good luck!

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01' 3.0i E53 (M54) with 164,000 miles
07' 3.0si E83 (N52) with 134,000 miles
08' 3.0si E70 (N52) with 91,000 miles