Separate the UI state and view manipulation for the device list.

- Move the UI state manipulation to `MediaOutputAdapter`.
- Move the view manipulation to `MediaDeviceBaseAdapter`.

Flag: EXEMPT refactor
Bug: 387570618
Test: atest SystemUiRoboTests:MediaOutputAdapterTest
    atest SystemUIGoogleRoboRNGTests:MediaOutputAdapterScreenshotTest
Change-Id: Icb2bad6ff0395843f9bdea3afa02501dff25243a