Add support for Cosmetology public search

[landonshumway-ia]

Cosmetology has slightly different requirements for public searching given the expected volume of practitioners with similar names. We need to support additional search parameters, such as license number. In order to accommodate these various patterns, we have determined to leverage the OpenSearch Domain to support public search, while keeping the request schema similar in shape to the public search request body used by JCC.

Closes #1295

Summary by CodeRabbit

• New Features

  • Public license search endpoint added (query by licenseNumber, jurisdiction, givenName, familyName) with opaque cursor pagination and sorting.

• Updates

  • Public provider responses now include a licenses array; public privilege items simplified (history/adverseActions removed).
  • Request validation and API schemas tightened (licenseNumber filter, pageSize limits) and public response shapes revised.
  • Public query routed to a dedicated search service and given monitoring; index-reset/config options added.

• Tests

  • Added comprehensive public-search tests; removed legacy public-query tests.