Port #4340 to stateful: Update EEM to reflect Inventory

[alaudazzi]

Description

This PR updates the EEM section to reflect Inventory (port #4340 to stateful).

NOTE FOR REVIEWERS: CI checks are failing because this PR has dependencies on #4438.

Documentation sets edited in this PR

Check all that apply.

• Stateful (docs/en/observability/*)
• Serverless (docs/en/serverless/*)
• Integrations Developer Guide (docs/en/integrations/*)
• None of the above

Related issue

Closes #4370

Checklist

• Product/Engineering Review
• Writer Review

Follow-up tasks

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• This PR does not need to be ported to another doc set because:
  • The concepts in this PR only apply to one doc set (serverless or stateful)
  • The PR contains edits to both doc sets (serverless and stateful)
• This PR needs to be ported to another doc set:
  • Port to stateful docs: <link to PR or tracking issue>
  • Port to serverless docs: <link to PR or tracking issue>

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[alaudazzi]

@roshan-elastic
Would you mind checking if the {es} privileges are still OK?

[dedemorton]

Changes LGTM from an editorial perspective.

Build should pass after #4438 is merged, so I'm approving.

[roshan-elastic]

Hey @alaudazzi - sorry, missed this. I can't seem to access a page where it shows the ES privileges. Do you have a link I can check at all?

[alaudazzi]

@roshan-elastic
these are the ES privileges:

[roshan-elastic]

Cheers @alaudazzi

@tommyers-elastic - is this still accurate?