leaudio: Fix ConfigureStream for device using Caching

This is a follow up fix for a corner case triggered behind the flag
`leaudio_improve_switch_during_phone_call`

Without this flag if feature behind the flag is triggered for the
devices using Configuration Caching, stream creation might not success
because client.cc is not notified about the configuration.

Bug: 382059519
Bug: 369322905
Flag: com::android::bluetooth:flags::leaudio_improve_switch_during_phone_call
Test: atest bluetooth_le_audio_test
Change-Id: I1ef80762afc246108a38b4384aed1dbd5f72a137