Dump key operations info from DeviceStateAutoRotateSettingController

Dump fields of DeviceStateAutoRotateSettingController at key moments in eng/userdebug devices.
Sample dump: https://paste.googleplex.com/4856645469470720

Fixes: 412714949
Flag: com.android.window.flags.enable_device_state_auto_rotate_setting_refactor
Test: log only update
Change-Id: I2bbe28b24262719821abfdb1276facd3587d7238