The steps to turn off Apple's mobile advertising push include: changing privacy settings, managing advertising identifiers, and restricting advertising tracking.

1. Change privacy settings: find and enter privacy in settings, select advertisements, and open the "Restrict advertisement tracking" option.

2. Manage advertising logos: In the same advertising setting, you can reset the advertising logos to reduce the push of personalized advertisements.

3. Restrict advertising tracking: In addition to resetting the advertising identifier, you can also reduce the advertising push from third-party applications by turning on "Restrict advertising tracking".