Investigate `dd-trace` log injection with eeeoh integration

[72636c]

Mostly paranoia after #229, but:

• Review whether enabling log injection interoperates well: https://docs.datadoghq.com/tracing/other_telemetry/connect_logs_and_traces/nodejs/#automatic-injection
• If so, document this option and provide specific guidance around importing it before any logger declaration

https://seekchat.slack.com/archives/C05HN3VMZ2T/p1755138144149439

[72636c]

They don't break mixin at least: https://github.com/DataDog/dd-trace-js/blob/213d56fb37bc7b929ee9cea99d21bb00eeafc412/packages/datadog-instrumentations/src/pino.js#L37-L51