Check and disable duplicate internal logs in tests

[cijothomas]

https://github.com/open-telemetry/opentelemetry-rust/pull/2833#discussion_r2005787465

[scottgerring]

Hey @cijothomas , do you happen to have an example of this handy, so I have a thread to pull on? If not no worries I can grep through.

[cijothomas]

https://github.com/open-telemetry/opentelemetry-rust/blob/main/opentelemetry-otlp/tests/integration_test/src/test_utils.rs#L51-L54 This is where we enable fmt layer to collect all SDK internal logs. This is not required if we already print logs to stdout in Test configuration.