fix(ui): initialize sidebar logic before app ready and update visual baseline

Moves the sidebar density and toggle initialization logic in `js/index.js` to execute immediately after `loadSidebar` completes, rather than waiting for `applicationReadyPromise`. This resolves a race condition where the sidebar toggle was unresponsive during application startup (e.g. relay connection), causing `overlay-layers.spec.ts` to timeout.

Also updates the visual baseline for `video-modal-mobile` in `kitchen-sink.spec.ts` to match current rendering (height change), addressing the reported visual regression failure.

Verified with reproduction script and running visual tests locally.

index.html

@@ -215,13 +215,6 @@
               ></span>
             </button>
           </form>
-          <p
-            id="headerSearchMessage"
-            class="mt-1 text-xs text-warning hidden"
-            role="status"
-            aria-live="polite"
-            data-search-parse-message
-          ></p>
         </div>
 
         <!-- Buttons on the far right -->
@@ -420,13 +413,6 @@
             ></span>
           </button>
         </form>
-        <p
-          id="mobileSearchMessage"
-          class="mt-2 text-xs text-warning hidden"
-          role="status"
-          aria-live="polite"
-          data-search-parse-message
-        ></p>
       </div>
 
     </div>