[AI Gateway] Add New Relic to common OTEL backends

[adjohn]

Summary

Adds New Relic to the list of common OTEL backends on the AI Gateway OpenTelemetry integration page. New Relic ingests OTLP natively over HTTP in both JSON and protobuf with an api-key header, so it works with AI Gateway's OTEL exporter as configured on this page. The bullet links to New Relic's OTLP configuration docs, matching the pattern of the Braintrust, Langfuse, and Datadog entries.

Documentation checklist

• The change adheres to the documentation style guide.

[cloudflare-docs-bot]

Review

✅ No issues found in commit a9b5fdc.

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[irvinebroque]

Should this be here too?

https://developers.cloudflare.com/workers/observability/exporting-opentelemetry-data/

[irvinebroque]

@ethulia @nevikashah

[adjohn]

@irvinebroque Good call. New Relic is already in the destinations table on that Workers page (added in #29084), pointing at the same New Relic OTLP docs. It does not have a dedicated "Export to New Relic" guide like the Honeycomb and Sentry pages do. Happy to write one as a follow-up PR if that would be useful.

I merged production into this branch (13f88b1) to clear the Outdated PR Check. The diff is still the single New Relic bullet. The CI run on the new head is waiting on a maintainer's "Approve and run" since this comes from a fork.

@ethulia @nevikashah whenever one of you has a minute, could you take a look? It is a one-line addition.

[ethulia]

@adjohn I approved! Looks like you'll have to rebase with current production again before merging.

[adjohn]

@ethulia Thanks! Updated the branch from current production. Both checks are green again, so it should be mergeable now.