Enable New Search tests in CI (#50386)

src/metabase/api/search.clj

src/metabase/cmd/load_from_h2.clj

src/metabase/public_settings.clj

src/metabase/search/impl.clj

src/metabase/search/postgres/index.clj

src/metabase/search/postgres/ingestion.clj

test/metabase/api/search_test.clj

test/metabase/cmd/load_from_h2_test.clj

test/metabase/db/custom_migrations_test.clj

test/metabase/db/schema_migrations_test.clj

test/metabase/search/postgres/index_test.clj