Refactor ShadowDeviceStateAutoRotateSettingManager

Update ShadowDeviceSttaeAutoRotateSettingManager as per the latest changes to DeviceStateAutoRotateSettingManager.
Test: atest DeviceStateAutoRotateSettingControllerTest
Bug: 394303723
Bug: 394303731
Flag: com.android.window.flags.enable_device_state_auto_rotate_setting_refactor

Change-Id: I8ea694709ccfd08310b241713b5ec67f2e070e2c