leaudio: Fix race when switching between Sink and Source stream

It is possible that Bluetooth stack will close the stream when Audio HAL
resumes Local Source just after Suspending Local Sink.

It will result in Audio Player being progressing with playing but there
is not Audio on the Bluetooth device.

Bug: 372120241
Flag: Exempt, regression tested with unit test, new test added
Test: atest bluetooth_le_audio_client_test
Change-Id: Ic9beb4af61917d9213a77b026779723c5d7b1f7c