Fix the click listener for the mute/unumte button.

- Previously, the mute button (icon area) click listener had to be added
after the container click listener. This order was changed in
 ag/31519152, and, as a result broke the mute button behavior. The
 current CL makes allows to assign click listeners in any order without
 the risk of behavior change.
- Additionally, fixed the mute/unmute click analytics event logging
 broken by ag/31194237.

Flag: Exempt bugfix
Bug: b/396361630
Fix: b/396361630
Test: atest SystemUiRoboTests:MediaOutputAdapterLegacyTest,
 on a physical device, accessibility with Talkback.
Change-Id: Ic773665120524a745d1eccba31210982aef2a89d