le_audio: Use set scenarios for multiple context types

Same type configuration would be shared between multiple context types.
This will limit internal configuration handovers and stream
reconfigurations while changing context type.

Bug: 240145073
Bug: 233961821
Tag: #feature
Sponsor: jpawlowski@
Test: atest bluetooth_le_audio_test
Test: atest bluetooth_le_audio_client_test
Change-Id: Ie0c19a0a4d1958ea6e641e7a9c3297cf611a5851