Remove the need for an Express error handler

[luismiramirez]

The OpenTelemetry Express instrumentation now automatically records exceptions without the need of an error handler.

See: https://github.com/open-telemetry/opentelemetry-js-contrib/pull/1657

ToDo

• [ ] Update the integration dependency
• [ ] Update test-setups
• [ ] Update the docs

[unflxw]

Going by the linked PR, it seems that it only records exceptions in middlewares? Does that cover our needs?

[luismiramirez]

That change doesn't cover our needs.

Here's an open issue reporting problems with the change: https://github.com/open-telemetry/opentelemetry-js-contrib/issues/2146

Internal link with the conversation: https://appsignal.slack.com/archives/C06TU59PXDF/p1714031628760559