[ResponseOps][AlertsTable] Alerts table enhancements

[cnasikas]

Warning

This is a WIP issue.

This meta issue gathers all enhancements and discusses ideas related to the alerts table.

Related: #195180

Tasks

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1. Expose a rich API that consuemers can use to interact with the alerts table
2. [ResponseOps][AlertsTable] Standardize the format of the alerts in the alerts table #188329
   Feature:Alerting/AlertsTable Team:ResponseOps technical debt +3
   
3. Improve refresh queries API using react-query (see comment)
4. Refactor alerts pagination reset logic (see comment)
5. Allow to customize pageSizeOptions and/or improve pageSize typing to match options union
6. Connect Updated ... ago indicator useSearchAlertsQuery
7. [Alerts] User should be able to unmute a muted alert by clicking on the bell #188781
   Feature:Alerting Team:ResponseOps enhancement +3
8. Remove the alerting context added in [ResponseOps][Alerts] Fix alerts table column toggling not working from security flyout #208052 to facilitiate securtiy solution
9. https://github.com/elastic/security-team/issues/6838

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Pinging @elastic/response-ops (Team:ResponseOps)