[feature request] Add BaggageLogRecordProcessor to enrich logs with baggage data

[matt-hensley]

Component

OpenTelemetry.Extensions

Is your feature request related to a problem?

In many use cases such as multi tenant applications, it is very helpful to use the Baggage API to propagate context across requests and to enrich the telemetry with these baggage attributes.

The Extensions package already has BaggageActivityProcessor to enrich activities with baggage, but there is no equivalent for logs.

What is the expected behavior?

A BaggageLogRecordProcessor to enrich logs with baggage.

Which alternative solutions or features have you considered?

In certain cases, it would be possible to use log scopes to enrich each log record.

Additional context

No response

[github-actions]

Tagging component owner(s).

@CodeBlanch @MikeGoldsmith