fix: attempt to add trace context to logs

[morgante]

More context:

• https://github.com/tokio-rs/tracing-opentelemetry/issues/174#issuecomment-2427353525
• https://github.com/jpramosi/opentelemetry-rust/blob/dbd359c6107afb86ee823667369d97b8e16d09a0/opentelemetry-appender-tracing/src/layer.rs#L188

The problem seems to be that opentelemetry doesn't fully track the context well across all async boundaries when using instrument from tracing.

Therefore, I instead just rely directly on retrieving the current trace from tracing.

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