[OutputSwitcher] Show remote device in chip for remote session

During PAS, w/o this fix, all media session's output switcher chip will
show "Sharing audio" since broadcast is a device audio level feature (all music audio will be broadcasted) instead of
media session based.

We prioritize the remote device name for remote session in this fix.

Bug: 436455969
Test: atest
Flag: com.android.settingslib.flags.enable_le_audio_sharing
Change-Id: I143357176579d707bbcd9db382b40e1edeaca78b