[Search] Fix native connector search results (#178003)

## Summary

This fixes the search result to redirect to native connector pages if
the user is on cloud and the connector supports native. Otherwise the
connector page will be for a connector client.

Also consolidate the reference for connector integrations used for
searching the top search bar and the integrations page.
There's a lot of repetitiveness here, and because they are very similar
in both use and design, it is ideal to have a single source of truth.

test/api_integration/apis/custom_integration/integrations.ts

@@ -22,7 +22,7 @@ export default function ({ getService }: FtrProviderContext) {
 
         expect(resp.body).to.be.an('array');
 
-        expect(resp.body.length).to.be(56);
+        expect(resp.body.length).to.be(49);
 
         // Test for sample data card
         expect(resp.body.findIndex((c: { id: string }) => c.id === 'sample_data_all')).to.be.above(