LE Audio: CAP Commander: Distribute Broadcast Code procedure implemenation

[Thalley]

Is your feature request related to a problem? Please describe.
Zephyr should be able to perform the Distribute Broadcast Code procedure.

Describe the solution you'd like
Implement the Distribute Broadcast Code procedure as per the CAP spec.

Describe alternatives you've considered
N/A

Additional context
Section 7.3.1.12 in the CAP spec.

Depends on #41185

Relevant PRs:
#80671 (API, merged)
#81320 (implementation, merged)
#81321 (bsim test)
#81323 (shell command)

[Thalley]

Closed as it has been implemented by the above PRs