Rationale

In order to provide the users with the basic tracing observability story we need the following, additional features

• W3C propagation type as the default propagation option (there would be 2 options, W3C and B3)

Conditionals

• If Micrometer Tracing IS NOT on the classpath
  • For Brave
    • [Context-Propagation] We will setup Brave B3 Propagation as default (there's no W3C support out of the box in Brave)
  • For OTel
    • [Context-Propagation] We will setup W3C Propagation without Baggage
    • [Context-Propagation] We will setup B3 Propagation without Baggage when B3 propagation property turned on
• If Micrometer Tracing IS on the classpath
  • For Brave
    • [Context-Propagation] By default we setup W3C context propagation without Baggage (that will be possible with Tracing snapshots - W3CPropagation allows not having baggage micrometer-metrics/tracing#72)
    • [Context-Propagation] We can switch to B3 context propagation (via a property)
  • For OTel:
    • [Context-Propagation] We will setup W3C Propagation without Baggage
    • [Context-Propagation] We will setup B3 Propagation without Baggage when B3 propagation property turned on

superseeds #32214
split from #32480