Add TypeScript types for store

**Feature request**
It would be great to have search for api.

**Use case**
Many users need this functionality for production deployments.

**Implementation idea**
Add a new config option `enable_search` with default `false`.

The title asks for TypeScript types for the store, while the body requests API search and an `enable_search` configuration option. Start by reconciling these requirements and locating the configuration and API entry points; done should include a defined search behavior and the requested default of `false`.

Written by the indexing model from the issue text.