Write Playwright test for search flow

[seanes]

Regression test for current implementation (requirements may change later, but then the test will be updated).
This can be a separate test or a combination of all:

A user should be able to find dialogs:

1. query search less than 3 characters is not allowed (first item in autocomplete should be disabled). This is a backend limitation.
2. number of results should appear in badge if there are results and some of them (not all) should be listed. it's capped at 5 now.
3. enter should show active element (by default this is "<> in innboks") and return results
4. Clicking on the item should have the same behaviour
5. You should be navigated back to results independent on the route you are at, e.g. if you are looking at details of a dialog (inbox/id), search should return you to inbox to display the results.