NewRelicContextFormatter: Add cause and context to stack traces

[sweco]

Is your feature request related to a problem? Please describe.

When working with the NewRelicContextFormatter, the stack trace cause and context are not included in the data logged to NewRelic. This makes it impossible to debug some errors, e.g. errors that happen while FastAPI is streaming the response with the StreamingResponse. Currently the stack trace stop at:

exceptiongroup.ExceptionGroup: unhandled errors in a TaskGroup (1 sub-exception)

but the sub-exception (which is where the stream crashed) is never printed.

Feature Description

Add context and cause to stack traces.

Describe Alternatives

N/A

Additional context

Already created a PR (#1266), could you please review?

Priority

Must Have

[workato-integration]

https://new-relic.atlassian.net/browse/NR-348576