[Alert search bar] Replace the status filter with controls on the observability alerts page

[maryam-saeidi]

Closes #197953

Summary

This PR replaces the alert status filter with filter controls.

We need to fix the following items before merging this feature:

• Solving the permission issue
  • The main issue will be fixed in this PR
  • In the above PR, we remove controls if the user does not have the privilege for alert indices, but we need to figure out how to adjust filter controls to access the data based on Kibana privileges.
• We should configure the filters to allow the selection of one item for alert status but still show the other options
• Changing the URL does not update the page filters correctly. Might be related to [ResponseOps][Alerts] Stack alerts page table loads twice #183412.
• We need to make sure these adjustments work as expected in APM as they use the observability alert search bar.
• Check if the tags filter can be improved, and if not, whether it makes sense to keep it in its current form.

[elasticmachine]

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