[RAC] [Observability] Integrate the alerts search bar with the filter, query and time manager

[weltenwort]

📓 Summary

While the search bar at the top of the observability alerts page is already based on the <SearchBar /> implementation provided by the data plugin, it is not yet integrated with the filter and query manager. In doing so we enable the structured filtering required for clean "filter in" / "filter out" functionality in the cell actions.

✔️ Acceptance criteria

• The search bar on the observability alerts page supports structured filters.
• The "filter in" / "filter out" actions on the alerts table cells manipulate the structured filters such that...
  • "filter in" adds a structured filter only if the same filter is not already present
  • "filter out" inverts the corresponding structured "filter in" entry if already present

💡 Implementation hints

• The data plugin exports a fully wired-up SearchBar (via createSearchBar) on its start() contract, which could save a lot of manual setup.

[maryam-saeidi]

This ticket was partially done in #142713, and the rest will be handled in #140573. So I will close it.

@weltenwort let me know if something is missing.