Remove the deprecated usage for TraceServiceStub in TraceExporter

[psx95]

There is usage of deprecated methods from TraceServiceStub in the class TraceExporter.

These need to be removed and TODOs around this code need to be addressed.

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In March 2024, we found that at least one major customer has code that depends on this functionality (see #277). We decided not to remove the deprecated usage to avoid rework for them. We may re-evaluate in future depending on usage.

[dashpole]

marking as p2

[psx95]

This affects #277.
It should be answered before implementing this fix.

[punya]

We have decided not to remove these deprecated methods at this time.