Deprecate Jaeger propagator

[Kielek]

What are you trying to achieve?

Clean up specification and deprecated Jaeger propagator: https://github.com/open-telemetry/opentelemetry-specification/blob/0ee7dafebc005751fc058824bd28ffd5e3f1ebb7/specification/context/api-propagators.md#propagators-distribution + clean up in other places referencing it.

Additional context.

Based on https://www.jaegertracing.io/sdk-migration/#propagation-format it is already deprecated by the Jaeger team.

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[pellared]

@yurishkuro, any comments from your side?

I can be a sponsor if it is accepted during triaging.

[svrnm]

@open-telemetry/technical-committee please take a look

[yurishkuro]

no objections

[jack-berg]

Discussed this in 12/17/25 TC meeting and don't have any objections to this.

[yurishkuro]

cc @vprithvi - not sure if you switched to W3C Trace Context or still using Jaeger format.