[Lens] Show Elasticsearch error in workspace

[flash1293]

Kibana version: master

Describe the bug: Elasticsearch errors are not correctly propagated to the workspace panel. Instead, a generic EsError is shown

Steps to reproduce:

1. Go to Lens data table
2. Configure a configuration that will produce too many buckets
3. Generic error is shown

Expected behavior:
ES error message should be shown

Screenshots (if relevant):

Errors in browser console (if relevant):

Provide logs and/or server output (if relevant):

Any additional context:
I'm not 100% sure whether this specific error worked, but in #79831 I definitely fixes this for some kinds of errors and it looks like they broke again (I spot-checked the scripted fields problem and it definitely regressed)

When we fix this, we should add a functional test for it.

[elasticmachine]

Pinging @elastic/kibana-app (Team:KibanaApp)

[wylieconlon]

This is probably related to a change in the wrapper format due to async search/background search sessions.