Backports the stack_connectors changes from elastic#260267 and elastic#260382 to the
9.3 branch. Adds a 180s query-level timeout and 180s requestTimeout to
the ES inference chat_completion transport request.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

Backports the stack_connectors changes from elastic#260267 and elastic#260382 to the
9.3 branch. Adds a 180s query-level timeout and 180s requestTimeout to
the ES inference chat_completion transport request.

…e_for_children6

* commit '3402744f63ca1196e97b11ffac4e7f7efab240df': (80 commits)
  [PerUserAuth] Add EARS auth type for Connectors V2 (elastic#253695)
  Fix `@elastic/eui/require-aria-label-for-modals` lint violations across `@elastic/kibana-core` files (elastic#259757)
  [Entity Analytics][Leads generation][4] Add API routes, LeadDataClient, and async generation (elastic#257046)
  [Agent Builder] Agent-centric UX redesign (elastic#258005)
  fix query streams failing test (elastic#260277)
  [Lens as code] Add list layout to the new API (elastic#259967)
  [FTR] Add warning comments to deployment-agnostic FTR base configs (elastic#260018)
  [Discover][Logs profile] Fix missing search highlights (elastic#260056)
  Plugin system: safe deletion (elastic#259038)
  [Infra] Fix Hosts filter options to match selected schema (elastic#259825)
  Manual Entity Resolution and flyout representation (elastic#260162)
  [Cascade] Handle grouping on fields with unset values (elastic#260033)
  [Fleet] generate OTel config for integration packages with otelcol inputs (elastic#259968)
  [Search] Switch over to V2 index management details (elastic#259866)
  [inference] increase timeout for ES inference calls (elastic#260382)
  [ES|QL] Enable subqueries (elastic#257455)
  [ES|QL] Change Point order free options (elastic#260282)
  [Auth] Added authentication strategy for UIAM OAuth (elastic#256182)
  [Security Solution] Add "alerts_candidate_count" rule execution metric (elastic#259917)
  [api-docs] 2026-03-31 Daily api_docs build (elastic#260380)
  ...

## Summary

Backports the stack_connectors changes from #260267 and #260382 to the
9.3 branch.

- Adds `querystring: { timeout: '180s' }` to the ES inference
`chat_completion` transport request
- Adds `requestTimeout: 180_000` to the transport request options

The inference plugin changes from those PRs are not included as that
code doesn't exist on 9.3.

## Test plan

- [x] Unit tests pass (`inference.test.ts`)

## Summary

Follow-up of elastic#260267
Turns out, we also need to increase the ES call's timeout

## Summary

Follow-up of elastic#260267
Turns out, we also need to increase the ES call's timeout