Investigate conflict with `@opentelemetry/instrumentation-pino`

It seems to mutate the pino instance in a way that breaks our eeeoh integration:

```
const eeeoh = logger.bindings().eeeoh;
^
TypeError: Cannot read properties of undefined (reading 'bindings')
```

https://seekchat.slack.com/archives/CDCPCEPV3/p1755129223926259?thread_ts=1754971569.109249&cid=CDCPCEPV3