Add configuration options for search

**Description**
Currently api lacks proper monitoring support.

**Proposed solution**
Add configurable monitoring with sensible defaults.

**Priority**: Low/Medium

Start by locating the API and search configuration entry points, then trace how monitoring is currently handled. The issue does not name files or tests, so confirm the intended monitoring signals and sensible defaults with the maintainers before implementation. Done should include configurable monitoring behavior and coverage for the selected defaults.

Written by the indexing model from the issue text.